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