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Simplifying 3(-2x + 4) + 5(x + 12) + 25x = 8(x + 1) + 6(-1x + 10) Reorder the terms: 3(4 + -2x) + 5(x + 12) + 25x = 8(x + 1) + 6(-1x + 10) (4 * 3 + -2x * 3) + 5(x + 12) + 25x = 8(x + 1) + 6(-1x + 10) (12 + -6x) + 5(x + 12) + 25x = 8(x + 1) + 6(-1x + 10) Reorder the terms: 12 + -6x + 5(12 + x) + 25x = 8(x + 1) + 6(-1x + 10) 12 + -6x + (12 * 5 + x * 5) + 25x = 8(x + 1) + 6(-1x + 10) 12 + -6x + (60 + 5x) + 25x = 8(x + 1) + 6(-1x + 10) Reorder the terms: 12 + 60 + -6x + 5x + 25x = 8(x + 1) + 6(-1x + 10) Combine like terms: 12 + 60 = 72 72 + -6x + 5x + 25x = 8(x + 1) + 6(-1x + 10) Combine like terms: -6x + 5x = -1x 72 + -1x + 25x = 8(x + 1) + 6(-1x + 10) Combine like terms: -1x + 25x = 24x 72 + 24x = 8(x + 1) + 6(-1x + 10) Reorder the terms: 72 + 24x = 8(1 + x) + 6(-1x + 10) 72 + 24x = (1 * 8 + x * 8) + 6(-1x + 10) 72 + 24x = (8 + 8x) + 6(-1x + 10) Reorder the terms: 72 + 24x = 8 + 8x + 6(10 + -1x) 72 + 24x = 8 + 8x + (10 * 6 + -1x * 6) 72 + 24x = 8 + 8x + (60 + -6x) Reorder the terms: 72 + 24x = 8 + 60 + 8x + -6x Combine like terms: 8 + 60 = 68 72 + 24x = 68 + 8x + -6x Combine like terms: 8x + -6x = 2x 72 + 24x = 68 + 2x Solving 72 + 24x = 68 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 72 + 24x + -2x = 68 + 2x + -2x Combine like terms: 24x + -2x = 22x 72 + 22x = 68 + 2x + -2x Combine like terms: 2x + -2x = 0 72 + 22x = 68 + 0 72 + 22x = 68 Add '-72' to each side of the equation. 72 + -72 + 22x = 68 + -72 Combine like terms: 72 + -72 = 0 0 + 22x = 68 + -72 22x = 68 + -72 Combine like terms: 68 + -72 = -4 22x = -4 Divide each side by '22'. x = -0.1818181818 Simplifying x = -0.1818181818
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