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Simplifying 4(3x + 1) + -15 = 5(3x + -1) Reorder the terms: 4(1 + 3x) + -15 = 5(3x + -1) (1 * 4 + 3x * 4) + -15 = 5(3x + -1) (4 + 12x) + -15 = 5(3x + -1) Reorder the terms: 4 + -15 + 12x = 5(3x + -1) Combine like terms: 4 + -15 = -11 -11 + 12x = 5(3x + -1) Reorder the terms: -11 + 12x = 5(-1 + 3x) -11 + 12x = (-1 * 5 + 3x * 5) -11 + 12x = (-5 + 15x) Solving -11 + 12x = -5 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -11 + 12x + -15x = -5 + 15x + -15x Combine like terms: 12x + -15x = -3x -11 + -3x = -5 + 15x + -15x Combine like terms: 15x + -15x = 0 -11 + -3x = -5 + 0 -11 + -3x = -5 Add '11' to each side of the equation. -11 + 11 + -3x = -5 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = -5 + 11 -3x = -5 + 11 Combine like terms: -5 + 11 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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