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Simplifying 10 + 3(5x + -2) = 7(2x + -1) + 9 Reorder the terms: 10 + 3(-2 + 5x) = 7(2x + -1) + 9 10 + (-2 * 3 + 5x * 3) = 7(2x + -1) + 9 10 + (-6 + 15x) = 7(2x + -1) + 9 Combine like terms: 10 + -6 = 4 4 + 15x = 7(2x + -1) + 9 Reorder the terms: 4 + 15x = 7(-1 + 2x) + 9 4 + 15x = (-1 * 7 + 2x * 7) + 9 4 + 15x = (-7 + 14x) + 9 Reorder the terms: 4 + 15x = -7 + 9 + 14x Combine like terms: -7 + 9 = 2 4 + 15x = 2 + 14x Solving 4 + 15x = 2 + 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. 4 + 15x + -14x = 2 + 14x + -14x Combine like terms: 15x + -14x = 1x 4 + 1x = 2 + 14x + -14x Combine like terms: 14x + -14x = 0 4 + 1x = 2 + 0 4 + 1x = 2 Add '-4' to each side of the equation. 4 + -4 + 1x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 2 + -4 1x = 2 + -4 Combine like terms: 2 + -4 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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