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Simplifying 4(x + 10) + -7x = -2(x + -13) Reorder the terms: 4(10 + x) + -7x = -2(x + -13) (10 * 4 + x * 4) + -7x = -2(x + -13) (40 + 4x) + -7x = -2(x + -13) Combine like terms: 4x + -7x = -3x 40 + -3x = -2(x + -13) Reorder the terms: 40 + -3x = -2(-13 + x) 40 + -3x = (-13 * -2 + x * -2) 40 + -3x = (26 + -2x) Solving 40 + -3x = 26 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 40 + -3x + 2x = 26 + -2x + 2x Combine like terms: -3x + 2x = -1x 40 + -1x = 26 + -2x + 2x Combine like terms: -2x + 2x = 0 40 + -1x = 26 + 0 40 + -1x = 26 Add '-40' to each side of the equation. 40 + -40 + -1x = 26 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 26 + -40 -1x = 26 + -40 Combine like terms: 26 + -40 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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