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Simplifying 8(x + 3) + 24 = 3(7 + -2x) + -4(2x + 6) Reorder the terms: 8(3 + x) + 24 = 3(7 + -2x) + -4(2x + 6) (3 * 8 + x * 8) + 24 = 3(7 + -2x) + -4(2x + 6) (24 + 8x) + 24 = 3(7 + -2x) + -4(2x + 6) Reorder the terms: 24 + 24 + 8x = 3(7 + -2x) + -4(2x + 6) Combine like terms: 24 + 24 = 48 48 + 8x = 3(7 + -2x) + -4(2x + 6) 48 + 8x = (7 * 3 + -2x * 3) + -4(2x + 6) 48 + 8x = (21 + -6x) + -4(2x + 6) Reorder the terms: 48 + 8x = 21 + -6x + -4(6 + 2x) 48 + 8x = 21 + -6x + (6 * -4 + 2x * -4) 48 + 8x = 21 + -6x + (-24 + -8x) Reorder the terms: 48 + 8x = 21 + -24 + -6x + -8x Combine like terms: 21 + -24 = -3 48 + 8x = -3 + -6x + -8x Combine like terms: -6x + -8x = -14x 48 + 8x = -3 + -14x Solving 48 + 8x = -3 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 48 + 8x + 14x = -3 + -14x + 14x Combine like terms: 8x + 14x = 22x 48 + 22x = -3 + -14x + 14x Combine like terms: -14x + 14x = 0 48 + 22x = -3 + 0 48 + 22x = -3 Add '-48' to each side of the equation. 48 + -48 + 22x = -3 + -48 Combine like terms: 48 + -48 = 0 0 + 22x = -3 + -48 22x = -3 + -48 Combine like terms: -3 + -48 = -51 22x = -51 Divide each side by '22'. x = -2.318181818 Simplifying x = -2.318181818
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