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