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Simplifying -4(x + -3) + 2x = 7(-2x + 5) + -13 Reorder the terms: -4(-3 + x) + 2x = 7(-2x + 5) + -13 (-3 * -4 + x * -4) + 2x = 7(-2x + 5) + -13 (12 + -4x) + 2x = 7(-2x + 5) + -13 Combine like terms: -4x + 2x = -2x 12 + -2x = 7(-2x + 5) + -13 Reorder the terms: 12 + -2x = 7(5 + -2x) + -13 12 + -2x = (5 * 7 + -2x * 7) + -13 12 + -2x = (35 + -14x) + -13 Reorder the terms: 12 + -2x = 35 + -13 + -14x Combine like terms: 35 + -13 = 22 12 + -2x = 22 + -14x Solving 12 + -2x = 22 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 12 + -2x + 14x = 22 + -14x + 14x Combine like terms: -2x + 14x = 12x 12 + 12x = 22 + -14x + 14x Combine like terms: -14x + 14x = 0 12 + 12x = 22 + 0 12 + 12x = 22 Add '-12' to each side of the equation. 12 + -12 + 12x = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = 22 + -12 12x = 22 + -12 Combine like terms: 22 + -12 = 10 12x = 10 Divide each side by '12'. x = 0.8333333333 Simplifying x = 0.8333333333
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