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Simplifying 4(x + 3) + -7 = -5(x + -1) + 9 Reorder the terms: 4(3 + x) + -7 = -5(x + -1) + 9 (3 * 4 + x * 4) + -7 = -5(x + -1) + 9 (12 + 4x) + -7 = -5(x + -1) + 9 Reorder the terms: 12 + -7 + 4x = -5(x + -1) + 9 Combine like terms: 12 + -7 = 5 5 + 4x = -5(x + -1) + 9 Reorder the terms: 5 + 4x = -5(-1 + x) + 9 5 + 4x = (-1 * -5 + x * -5) + 9 5 + 4x = (5 + -5x) + 9 Reorder the terms: 5 + 4x = 5 + 9 + -5x Combine like terms: 5 + 9 = 14 5 + 4x = 14 + -5x Solving 5 + 4x = 14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 5 + 4x + 5x = 14 + -5x + 5x Combine like terms: 4x + 5x = 9x 5 + 9x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 9x = 14 + 0 5 + 9x = 14 Add '-5' to each side of the equation. 5 + -5 + 9x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 14 + -5 9x = 14 + -5 Combine like terms: 14 + -5 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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