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Simplifying (5x + 9) + -1(2x + -3) = 2x + -7 Reorder the terms: (9 + 5x) + -1(2x + -3) = 2x + -7 Remove parenthesis around (9 + 5x) 9 + 5x + -1(2x + -3) = 2x + -7 Reorder the terms: 9 + 5x + -1(-3 + 2x) = 2x + -7 9 + 5x + (-3 * -1 + 2x * -1) = 2x + -7 9 + 5x + (3 + -2x) = 2x + -7 Reorder the terms: 9 + 3 + 5x + -2x = 2x + -7 Combine like terms: 9 + 3 = 12 12 + 5x + -2x = 2x + -7 Combine like terms: 5x + -2x = 3x 12 + 3x = 2x + -7 Reorder the terms: 12 + 3x = -7 + 2x Solving 12 + 3x = -7 + 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. 12 + 3x + -2x = -7 + 2x + -2x Combine like terms: 3x + -2x = 1x 12 + 1x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 1x = -7 + 0 12 + 1x = -7 Add '-12' to each side of the equation. 12 + -12 + 1x = -7 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -7 + -12 1x = -7 + -12 Combine like terms: -7 + -12 = -19 1x = -19 Divide each side by '1'. x = -19 Simplifying x = -19
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