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Simplifying 5(2 + -3x) + 1 = 3(4x + -3) + -5(2x + -3) (2 * 5 + -3x * 5) + 1 = 3(4x + -3) + -5(2x + -3) (10 + -15x) + 1 = 3(4x + -3) + -5(2x + -3) Reorder the terms: 10 + 1 + -15x = 3(4x + -3) + -5(2x + -3) Combine like terms: 10 + 1 = 11 11 + -15x = 3(4x + -3) + -5(2x + -3) Reorder the terms: 11 + -15x = 3(-3 + 4x) + -5(2x + -3) 11 + -15x = (-3 * 3 + 4x * 3) + -5(2x + -3) 11 + -15x = (-9 + 12x) + -5(2x + -3) Reorder the terms: 11 + -15x = -9 + 12x + -5(-3 + 2x) 11 + -15x = -9 + 12x + (-3 * -5 + 2x * -5) 11 + -15x = -9 + 12x + (15 + -10x) Reorder the terms: 11 + -15x = -9 + 15 + 12x + -10x Combine like terms: -9 + 15 = 6 11 + -15x = 6 + 12x + -10x Combine like terms: 12x + -10x = 2x 11 + -15x = 6 + 2x Solving 11 + -15x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 11 + -15x + -2x = 6 + 2x + -2x Combine like terms: -15x + -2x = -17x 11 + -17x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + -17x = 6 + 0 11 + -17x = 6 Add '-11' to each side of the equation. 11 + -11 + -17x = 6 + -11 Combine like terms: 11 + -11 = 0 0 + -17x = 6 + -11 -17x = 6 + -11 Combine like terms: 6 + -11 = -5 -17x = -5 Divide each side by '-17'. x = 0.2941176471 Simplifying x = 0.2941176471
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