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Simplifying -3(x + -3) + 8x = 1 + 7(2x + -4) Reorder the terms: -3(-3 + x) + 8x = 1 + 7(2x + -4) (-3 * -3 + x * -3) + 8x = 1 + 7(2x + -4) (9 + -3x) + 8x = 1 + 7(2x + -4) Combine like terms: -3x + 8x = 5x 9 + 5x = 1 + 7(2x + -4) Reorder the terms: 9 + 5x = 1 + 7(-4 + 2x) 9 + 5x = 1 + (-4 * 7 + 2x * 7) 9 + 5x = 1 + (-28 + 14x) Combine like terms: 1 + -28 = -27 9 + 5x = -27 + 14x Solving 9 + 5x = -27 + 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. 9 + 5x + -14x = -27 + 14x + -14x Combine like terms: 5x + -14x = -9x 9 + -9x = -27 + 14x + -14x Combine like terms: 14x + -14x = 0 9 + -9x = -27 + 0 9 + -9x = -27 Add '-9' to each side of the equation. 9 + -9 + -9x = -27 + -9 Combine like terms: 9 + -9 = 0 0 + -9x = -27 + -9 -9x = -27 + -9 Combine like terms: -27 + -9 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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