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Simplifying 4(x + -1) + 7 = 9(x + 3) + -4 Reorder the terms: 4(-1 + x) + 7 = 9(x + 3) + -4 (-1 * 4 + x * 4) + 7 = 9(x + 3) + -4 (-4 + 4x) + 7 = 9(x + 3) + -4 Reorder the terms: -4 + 7 + 4x = 9(x + 3) + -4 Combine like terms: -4 + 7 = 3 3 + 4x = 9(x + 3) + -4 Reorder the terms: 3 + 4x = 9(3 + x) + -4 3 + 4x = (3 * 9 + x * 9) + -4 3 + 4x = (27 + 9x) + -4 Reorder the terms: 3 + 4x = 27 + -4 + 9x Combine like terms: 27 + -4 = 23 3 + 4x = 23 + 9x Solving 3 + 4x = 23 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 3 + 4x + -9x = 23 + 9x + -9x Combine like terms: 4x + -9x = -5x 3 + -5x = 23 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + -5x = 23 + 0 3 + -5x = 23 Add '-3' to each side of the equation. 3 + -3 + -5x = 23 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 23 + -3 -5x = 23 + -3 Combine like terms: 23 + -3 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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