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Simplifying 3(x + -5) + 2 = 8x + -1(4x + 1) Reorder the terms: 3(-5 + x) + 2 = 8x + -1(4x + 1) (-5 * 3 + x * 3) + 2 = 8x + -1(4x + 1) (-15 + 3x) + 2 = 8x + -1(4x + 1) Reorder the terms: -15 + 2 + 3x = 8x + -1(4x + 1) Combine like terms: -15 + 2 = -13 -13 + 3x = 8x + -1(4x + 1) Reorder the terms: -13 + 3x = 8x + -1(1 + 4x) -13 + 3x = 8x + (1 * -1 + 4x * -1) -13 + 3x = 8x + (-1 + -4x) Reorder the terms: -13 + 3x = -1 + 8x + -4x Combine like terms: 8x + -4x = 4x -13 + 3x = -1 + 4x Solving -13 + 3x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -13 + 3x + -4x = -1 + 4x + -4x Combine like terms: 3x + -4x = -1x -13 + -1x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + -1x = -1 + 0 -13 + -1x = -1 Add '13' to each side of the equation. -13 + 13 + -1x = -1 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = -1 + 13 -1x = -1 + 13 Combine like terms: -1 + 13 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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