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Simplifying 12 + -3(x + -5) = -8 + 4(12 + -1x) + -13 Reorder the terms: 12 + -3(-5 + x) = -8 + 4(12 + -1x) + -13 12 + (-5 * -3 + x * -3) = -8 + 4(12 + -1x) + -13 12 + (15 + -3x) = -8 + 4(12 + -1x) + -13 Combine like terms: 12 + 15 = 27 27 + -3x = -8 + 4(12 + -1x) + -13 27 + -3x = -8 + (12 * 4 + -1x * 4) + -13 27 + -3x = -8 + (48 + -4x) + -13 Reorder the terms: 27 + -3x = -8 + 48 + -13 + -4x Combine like terms: -8 + 48 = 40 27 + -3x = 40 + -13 + -4x Combine like terms: 40 + -13 = 27 27 + -3x = 27 + -4x Add '-27' to each side of the equation. 27 + -27 + -3x = 27 + -27 + -4x Combine like terms: 27 + -27 = 0 0 + -3x = 27 + -27 + -4x -3x = 27 + -27 + -4x Combine like terms: 27 + -27 = 0 -3x = 0 + -4x -3x = -4x Solving -3x = -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. -3x + 4x = -4x + 4x Combine like terms: -3x + 4x = 1x 1x = -4x + 4x Combine like terms: -4x + 4x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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