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Simplifying 5 + -2x + 3(x + -1) = 7(2x + 4) Reorder the terms: 5 + -2x + 3(-1 + x) = 7(2x + 4) 5 + -2x + (-1 * 3 + x * 3) = 7(2x + 4) 5 + -2x + (-3 + 3x) = 7(2x + 4) Reorder the terms: 5 + -3 + -2x + 3x = 7(2x + 4) Combine like terms: 5 + -3 = 2 2 + -2x + 3x = 7(2x + 4) Combine like terms: -2x + 3x = 1x 2 + 1x = 7(2x + 4) Reorder the terms: 2 + 1x = 7(4 + 2x) 2 + 1x = (4 * 7 + 2x * 7) 2 + 1x = (28 + 14x) Solving 2 + 1x = 28 + 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. 2 + 1x + -14x = 28 + 14x + -14x Combine like terms: 1x + -14x = -13x 2 + -13x = 28 + 14x + -14x Combine like terms: 14x + -14x = 0 2 + -13x = 28 + 0 2 + -13x = 28 Add '-2' to each side of the equation. 2 + -2 + -13x = 28 + -2 Combine like terms: 2 + -2 = 0 0 + -13x = 28 + -2 -13x = 28 + -2 Combine like terms: 28 + -2 = 26 -13x = 26 Divide each side by '-13'. x = -2 Simplifying x = -2
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