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Simplifying 3(2x + 4) + -5(1 + -2x) = 8(3x + -4) + 2x + -3 Reorder the terms: 3(4 + 2x) + -5(1 + -2x) = 8(3x + -4) + 2x + -3 (4 * 3 + 2x * 3) + -5(1 + -2x) = 8(3x + -4) + 2x + -3 (12 + 6x) + -5(1 + -2x) = 8(3x + -4) + 2x + -3 12 + 6x + (1 * -5 + -2x * -5) = 8(3x + -4) + 2x + -3 12 + 6x + (-5 + 10x) = 8(3x + -4) + 2x + -3 Reorder the terms: 12 + -5 + 6x + 10x = 8(3x + -4) + 2x + -3 Combine like terms: 12 + -5 = 7 7 + 6x + 10x = 8(3x + -4) + 2x + -3 Combine like terms: 6x + 10x = 16x 7 + 16x = 8(3x + -4) + 2x + -3 Reorder the terms: 7 + 16x = 8(-4 + 3x) + 2x + -3 7 + 16x = (-4 * 8 + 3x * 8) + 2x + -3 7 + 16x = (-32 + 24x) + 2x + -3 Reorder the terms: 7 + 16x = -32 + -3 + 24x + 2x Combine like terms: -32 + -3 = -35 7 + 16x = -35 + 24x + 2x Combine like terms: 24x + 2x = 26x 7 + 16x = -35 + 26x Solving 7 + 16x = -35 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 7 + 16x + -26x = -35 + 26x + -26x Combine like terms: 16x + -26x = -10x 7 + -10x = -35 + 26x + -26x Combine like terms: 26x + -26x = 0 7 + -10x = -35 + 0 7 + -10x = -35 Add '-7' to each side of the equation. 7 + -7 + -10x = -35 + -7 Combine like terms: 7 + -7 = 0 0 + -10x = -35 + -7 -10x = -35 + -7 Combine like terms: -35 + -7 = -42 -10x = -42 Divide each side by '-10'. x = 4.2 Simplifying x = 4.2
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