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Simplifying 2(x + -4) + 3 = 4x + -1(x + -8) Reorder the terms: 2(-4 + x) + 3 = 4x + -1(x + -8) (-4 * 2 + x * 2) + 3 = 4x + -1(x + -8) (-8 + 2x) + 3 = 4x + -1(x + -8) Reorder the terms: -8 + 3 + 2x = 4x + -1(x + -8) Combine like terms: -8 + 3 = -5 -5 + 2x = 4x + -1(x + -8) Reorder the terms: -5 + 2x = 4x + -1(-8 + x) -5 + 2x = 4x + (-8 * -1 + x * -1) -5 + 2x = 4x + (8 + -1x) Reorder the terms: -5 + 2x = 8 + 4x + -1x Combine like terms: 4x + -1x = 3x -5 + 2x = 8 + 3x Solving -5 + 2x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 2x + -3x = 8 + 3x + -3x Combine like terms: 2x + -3x = -1x -5 + -1x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -1x = 8 + 0 -5 + -1x = 8 Add '5' to each side of the equation. -5 + 5 + -1x = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 8 + 5 -1x = 8 + 5 Combine like terms: 8 + 5 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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