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Simplifying 3(x + -2) + -7 = 3x + -1(2x + -3) Reorder the terms: 3(-2 + x) + -7 = 3x + -1(2x + -3) (-2 * 3 + x * 3) + -7 = 3x + -1(2x + -3) (-6 + 3x) + -7 = 3x + -1(2x + -3) Reorder the terms: -6 + -7 + 3x = 3x + -1(2x + -3) Combine like terms: -6 + -7 = -13 -13 + 3x = 3x + -1(2x + -3) Reorder the terms: -13 + 3x = 3x + -1(-3 + 2x) -13 + 3x = 3x + (-3 * -1 + 2x * -1) -13 + 3x = 3x + (3 + -2x) Reorder the terms: -13 + 3x = 3 + 3x + -2x Combine like terms: 3x + -2x = 1x -13 + 3x = 3 + 1x Solving -13 + 3x = 3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13 + 3x + -1x = 3 + 1x + -1x Combine like terms: 3x + -1x = 2x -13 + 2x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 -13 + 2x = 3 + 0 -13 + 2x = 3 Add '13' to each side of the equation. -13 + 13 + 2x = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 3 + 13 2x = 3 + 13 Combine like terms: 3 + 13 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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