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Simplifying 4x + -7 + -1(x + -2) = 5x + -1 + -12 Reorder the terms: 4x + -7 + -1(-2 + x) = 5x + -1 + -12 4x + -7 + (-2 * -1 + x * -1) = 5x + -1 + -12 4x + -7 + (2 + -1x) = 5x + -1 + -12 Reorder the terms: -7 + 2 + 4x + -1x = 5x + -1 + -12 Combine like terms: -7 + 2 = -5 -5 + 4x + -1x = 5x + -1 + -12 Combine like terms: 4x + -1x = 3x -5 + 3x = 5x + -1 + -12 Reorder the terms: -5 + 3x = -1 + -12 + 5x Combine like terms: -1 + -12 = -13 -5 + 3x = -13 + 5x Solving -5 + 3x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + 3x + -5x = -13 + 5x + -5x Combine like terms: 3x + -5x = -2x -5 + -2x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -2x = -13 + 0 -5 + -2x = -13 Add '5' to each side of the equation. -5 + 5 + -2x = -13 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -13 + 5 -2x = -13 + 5 Combine like terms: -13 + 5 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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