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Simplifying -12 + 4x = 7x + -1(x + -15) Reorder the terms: -12 + 4x = 7x + -1(-15 + x) -12 + 4x = 7x + (-15 * -1 + x * -1) -12 + 4x = 7x + (15 + -1x) Reorder the terms: -12 + 4x = 15 + 7x + -1x Combine like terms: 7x + -1x = 6x -12 + 4x = 15 + 6x Solving -12 + 4x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 4x + -6x = 15 + 6x + -6x Combine like terms: 4x + -6x = -2x -12 + -2x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -2x = 15 + 0 -12 + -2x = 15 Add '12' to each side of the equation. -12 + 12 + -2x = 15 + 12 Combine like terms: -12 + 12 = 0 0 + -2x = 15 + 12 -2x = 15 + 12 Combine like terms: 15 + 12 = 27 -2x = 27 Divide each side by '-2'. x = -13.5 Simplifying x = -13.5
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