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Simplifying 3(3x + 4) + -7 = 13(x + -1) Reorder the terms: 3(4 + 3x) + -7 = 13(x + -1) (4 * 3 + 3x * 3) + -7 = 13(x + -1) (12 + 9x) + -7 = 13(x + -1) Reorder the terms: 12 + -7 + 9x = 13(x + -1) Combine like terms: 12 + -7 = 5 5 + 9x = 13(x + -1) Reorder the terms: 5 + 9x = 13(-1 + x) 5 + 9x = (-1 * 13 + x * 13) 5 + 9x = (-13 + 13x) Solving 5 + 9x = -13 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 5 + 9x + -13x = -13 + 13x + -13x Combine like terms: 9x + -13x = -4x 5 + -4x = -13 + 13x + -13x Combine like terms: 13x + -13x = 0 5 + -4x = -13 + 0 5 + -4x = -13 Add '-5' to each side of the equation. 5 + -5 + -4x = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -13 + -5 -4x = -13 + -5 Combine like terms: -13 + -5 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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