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Simplifying 4x + 3(x + -1) = -2(x + -3) + 9 Reorder the terms: 4x + 3(-1 + x) = -2(x + -3) + 9 4x + (-1 * 3 + x * 3) = -2(x + -3) + 9 4x + (-3 + 3x) = -2(x + -3) + 9 Reorder the terms: -3 + 4x + 3x = -2(x + -3) + 9 Combine like terms: 4x + 3x = 7x -3 + 7x = -2(x + -3) + 9 Reorder the terms: -3 + 7x = -2(-3 + x) + 9 -3 + 7x = (-3 * -2 + x * -2) + 9 -3 + 7x = (6 + -2x) + 9 Reorder the terms: -3 + 7x = 6 + 9 + -2x Combine like terms: 6 + 9 = 15 -3 + 7x = 15 + -2x Solving -3 + 7x = 15 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + 7x + 2x = 15 + -2x + 2x Combine like terms: 7x + 2x = 9x -3 + 9x = 15 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 9x = 15 + 0 -3 + 9x = 15 Add '3' to each side of the equation. -3 + 3 + 9x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 15 + 3 9x = 15 + 3 Combine like terms: 15 + 3 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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