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Simplifying 5(2x + -3) + 7 = 4 + -2(9 + -4x) Reorder the terms: 5(-3 + 2x) + 7 = 4 + -2(9 + -4x) (-3 * 5 + 2x * 5) + 7 = 4 + -2(9 + -4x) (-15 + 10x) + 7 = 4 + -2(9 + -4x) Reorder the terms: -15 + 7 + 10x = 4 + -2(9 + -4x) Combine like terms: -15 + 7 = -8 -8 + 10x = 4 + -2(9 + -4x) -8 + 10x = 4 + (9 * -2 + -4x * -2) -8 + 10x = 4 + (-18 + 8x) Combine like terms: 4 + -18 = -14 -8 + 10x = -14 + 8x Solving -8 + 10x = -14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 10x + -8x = -14 + 8x + -8x Combine like terms: 10x + -8x = 2x -8 + 2x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 2x = -14 + 0 -8 + 2x = -14 Add '8' to each side of the equation. -8 + 8 + 2x = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -14 + 8 2x = -14 + 8 Combine like terms: -14 + 8 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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