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Simplifying 3(x + -4) + 4 = (2x + -2) * 5 + 9 Reorder the terms: 3(-4 + x) + 4 = (2x + -2) * 5 + 9 (-4 * 3 + x * 3) + 4 = (2x + -2) * 5 + 9 (-12 + 3x) + 4 = (2x + -2) * 5 + 9 Reorder the terms: -12 + 4 + 3x = (2x + -2) * 5 + 9 Combine like terms: -12 + 4 = -8 -8 + 3x = (2x + -2) * 5 + 9 Reorder the terms: -8 + 3x = (-2 + 2x) * 5 + 9 Reorder the terms for easier multiplication: -8 + 3x = 5(-2 + 2x) + 9 -8 + 3x = (-2 * 5 + 2x * 5) + 9 -8 + 3x = (-10 + 10x) + 9 Reorder the terms: -8 + 3x = -10 + 9 + 10x Combine like terms: -10 + 9 = -1 -8 + 3x = -1 + 10x Solving -8 + 3x = -1 + 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. -8 + 3x + -10x = -1 + 10x + -10x Combine like terms: 3x + -10x = -7x -8 + -7x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + -7x = -1 + 0 -8 + -7x = -1 Add '8' to each side of the equation. -8 + 8 + -7x = -1 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = -1 + 8 -7x = -1 + 8 Combine like terms: -1 + 8 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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