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Simplifying 10x + -3(4x + 1) = 2 + 5(3x + -2) Reorder the terms: 10x + -3(1 + 4x) = 2 + 5(3x + -2) 10x + (1 * -3 + 4x * -3) = 2 + 5(3x + -2) 10x + (-3 + -12x) = 2 + 5(3x + -2) Reorder the terms: -3 + 10x + -12x = 2 + 5(3x + -2) Combine like terms: 10x + -12x = -2x -3 + -2x = 2 + 5(3x + -2) Reorder the terms: -3 + -2x = 2 + 5(-2 + 3x) -3 + -2x = 2 + (-2 * 5 + 3x * 5) -3 + -2x = 2 + (-10 + 15x) Combine like terms: 2 + -10 = -8 -3 + -2x = -8 + 15x Solving -3 + -2x = -8 + 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. -3 + -2x + -15x = -8 + 15x + -15x Combine like terms: -2x + -15x = -17x -3 + -17x = -8 + 15x + -15x Combine like terms: 15x + -15x = 0 -3 + -17x = -8 + 0 -3 + -17x = -8 Add '3' to each side of the equation. -3 + 3 + -17x = -8 + 3 Combine like terms: -3 + 3 = 0 0 + -17x = -8 + 3 -17x = -8 + 3 Combine like terms: -8 + 3 = -5 -17x = -5 Divide each side by '-17'. x = 0.2941176471 Simplifying x = 0.2941176471
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