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Simplifying 5(3 + -1x) + -4(3x + -2) = 5(2 + -3x) (3 * 5 + -1x * 5) + -4(3x + -2) = 5(2 + -3x) (15 + -5x) + -4(3x + -2) = 5(2 + -3x) Reorder the terms: 15 + -5x + -4(-2 + 3x) = 5(2 + -3x) 15 + -5x + (-2 * -4 + 3x * -4) = 5(2 + -3x) 15 + -5x + (8 + -12x) = 5(2 + -3x) Reorder the terms: 15 + 8 + -5x + -12x = 5(2 + -3x) Combine like terms: 15 + 8 = 23 23 + -5x + -12x = 5(2 + -3x) Combine like terms: -5x + -12x = -17x 23 + -17x = 5(2 + -3x) 23 + -17x = (2 * 5 + -3x * 5) 23 + -17x = (10 + -15x) Solving 23 + -17x = 10 + -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. 23 + -17x + 15x = 10 + -15x + 15x Combine like terms: -17x + 15x = -2x 23 + -2x = 10 + -15x + 15x Combine like terms: -15x + 15x = 0 23 + -2x = 10 + 0 23 + -2x = 10 Add '-23' to each side of the equation. 23 + -23 + -2x = 10 + -23 Combine like terms: 23 + -23 = 0 0 + -2x = 10 + -23 -2x = 10 + -23 Combine like terms: 10 + -23 = -13 -2x = -13 Divide each side by '-2'. x = 6.5 Simplifying x = 6.5
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