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Simplifying 8(2x + 3) + -4(5x + 1) = 6(-1x + 5) + -2 Reorder the terms: 8(3 + 2x) + -4(5x + 1) = 6(-1x + 5) + -2 (3 * 8 + 2x * 8) + -4(5x + 1) = 6(-1x + 5) + -2 (24 + 16x) + -4(5x + 1) = 6(-1x + 5) + -2 Reorder the terms: 24 + 16x + -4(1 + 5x) = 6(-1x + 5) + -2 24 + 16x + (1 * -4 + 5x * -4) = 6(-1x + 5) + -2 24 + 16x + (-4 + -20x) = 6(-1x + 5) + -2 Reorder the terms: 24 + -4 + 16x + -20x = 6(-1x + 5) + -2 Combine like terms: 24 + -4 = 20 20 + 16x + -20x = 6(-1x + 5) + -2 Combine like terms: 16x + -20x = -4x 20 + -4x = 6(-1x + 5) + -2 Reorder the terms: 20 + -4x = 6(5 + -1x) + -2 20 + -4x = (5 * 6 + -1x * 6) + -2 20 + -4x = (30 + -6x) + -2 Reorder the terms: 20 + -4x = 30 + -2 + -6x Combine like terms: 30 + -2 = 28 20 + -4x = 28 + -6x Solving 20 + -4x = 28 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 20 + -4x + 6x = 28 + -6x + 6x Combine like terms: -4x + 6x = 2x 20 + 2x = 28 + -6x + 6x Combine like terms: -6x + 6x = 0 20 + 2x = 28 + 0 20 + 2x = 28 Add '-20' to each side of the equation. 20 + -20 + 2x = 28 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 28 + -20 2x = 28 + -20 Combine like terms: 28 + -20 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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