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Simplifying 4(2x + 5) + -2(x + -3) = 8(2x + 4) Reorder the terms: 4(5 + 2x) + -2(x + -3) = 8(2x + 4) (5 * 4 + 2x * 4) + -2(x + -3) = 8(2x + 4) (20 + 8x) + -2(x + -3) = 8(2x + 4) Reorder the terms: 20 + 8x + -2(-3 + x) = 8(2x + 4) 20 + 8x + (-3 * -2 + x * -2) = 8(2x + 4) 20 + 8x + (6 + -2x) = 8(2x + 4) Reorder the terms: 20 + 6 + 8x + -2x = 8(2x + 4) Combine like terms: 20 + 6 = 26 26 + 8x + -2x = 8(2x + 4) Combine like terms: 8x + -2x = 6x 26 + 6x = 8(2x + 4) Reorder the terms: 26 + 6x = 8(4 + 2x) 26 + 6x = (4 * 8 + 2x * 8) 26 + 6x = (32 + 16x) Solving 26 + 6x = 32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 26 + 6x + -16x = 32 + 16x + -16x Combine like terms: 6x + -16x = -10x 26 + -10x = 32 + 16x + -16x Combine like terms: 16x + -16x = 0 26 + -10x = 32 + 0 26 + -10x = 32 Add '-26' to each side of the equation. 26 + -26 + -10x = 32 + -26 Combine like terms: 26 + -26 = 0 0 + -10x = 32 + -26 -10x = 32 + -26 Combine like terms: 32 + -26 = 6 -10x = 6 Divide each side by '-10'. x = -0.6 Simplifying x = -0.6
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