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Simplifying 5x + -3(x + -3) = 4(x + 2) + 5 Reorder the terms: 5x + -3(-3 + x) = 4(x + 2) + 5 5x + (-3 * -3 + x * -3) = 4(x + 2) + 5 5x + (9 + -3x) = 4(x + 2) + 5 Reorder the terms: 9 + 5x + -3x = 4(x + 2) + 5 Combine like terms: 5x + -3x = 2x 9 + 2x = 4(x + 2) + 5 Reorder the terms: 9 + 2x = 4(2 + x) + 5 9 + 2x = (2 * 4 + x * 4) + 5 9 + 2x = (8 + 4x) + 5 Reorder the terms: 9 + 2x = 8 + 5 + 4x Combine like terms: 8 + 5 = 13 9 + 2x = 13 + 4x Solving 9 + 2x = 13 + 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 = 13 + 4x + -4x Combine like terms: 2x + -4x = -2x 9 + -2x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -2x = 13 + 0 9 + -2x = 13 Add '-9' to each side of the equation. 9 + -9 + -2x = 13 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 13 + -9 -2x = 13 + -9 Combine like terms: 13 + -9 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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