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Simplifying (4x + -3) + 3(3x + 6) = 5x + -1 Reorder the terms: (-3 + 4x) + 3(3x + 6) = 5x + -1 Remove parenthesis around (-3 + 4x) -3 + 4x + 3(3x + 6) = 5x + -1 Reorder the terms: -3 + 4x + 3(6 + 3x) = 5x + -1 -3 + 4x + (6 * 3 + 3x * 3) = 5x + -1 -3 + 4x + (18 + 9x) = 5x + -1 Reorder the terms: -3 + 18 + 4x + 9x = 5x + -1 Combine like terms: -3 + 18 = 15 15 + 4x + 9x = 5x + -1 Combine like terms: 4x + 9x = 13x 15 + 13x = 5x + -1 Reorder the terms: 15 + 13x = -1 + 5x Solving 15 + 13x = -1 + 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. 15 + 13x + -5x = -1 + 5x + -5x Combine like terms: 13x + -5x = 8x 15 + 8x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 8x = -1 + 0 15 + 8x = -1 Add '-15' to each side of the equation. 15 + -15 + 8x = -1 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = -1 + -15 8x = -1 + -15 Combine like terms: -1 + -15 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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