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Simplifying 4(2x + -4) + 3 = 12 + -2(-5x + -1) Reorder the terms: 4(-4 + 2x) + 3 = 12 + -2(-5x + -1) (-4 * 4 + 2x * 4) + 3 = 12 + -2(-5x + -1) (-16 + 8x) + 3 = 12 + -2(-5x + -1) Reorder the terms: -16 + 3 + 8x = 12 + -2(-5x + -1) Combine like terms: -16 + 3 = -13 -13 + 8x = 12 + -2(-5x + -1) Reorder the terms: -13 + 8x = 12 + -2(-1 + -5x) -13 + 8x = 12 + (-1 * -2 + -5x * -2) -13 + 8x = 12 + (2 + 10x) Combine like terms: 12 + 2 = 14 -13 + 8x = 14 + 10x Solving -13 + 8x = 14 + 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. -13 + 8x + -10x = 14 + 10x + -10x Combine like terms: 8x + -10x = -2x -13 + -2x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 -13 + -2x = 14 + 0 -13 + -2x = 14 Add '13' to each side of the equation. -13 + 13 + -2x = 14 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = 14 + 13 -2x = 14 + 13 Combine like terms: 14 + 13 = 27 -2x = 27 Divide each side by '-2'. x = -13.5 Simplifying x = -13.5
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