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Simplifying 10 + -3(x + -1) = 2(2x + 3) + 5(x + 1) Reorder the terms: 10 + -3(-1 + x) = 2(2x + 3) + 5(x + 1) 10 + (-1 * -3 + x * -3) = 2(2x + 3) + 5(x + 1) 10 + (3 + -3x) = 2(2x + 3) + 5(x + 1) Combine like terms: 10 + 3 = 13 13 + -3x = 2(2x + 3) + 5(x + 1) Reorder the terms: 13 + -3x = 2(3 + 2x) + 5(x + 1) 13 + -3x = (3 * 2 + 2x * 2) + 5(x + 1) 13 + -3x = (6 + 4x) + 5(x + 1) Reorder the terms: 13 + -3x = 6 + 4x + 5(1 + x) 13 + -3x = 6 + 4x + (1 * 5 + x * 5) 13 + -3x = 6 + 4x + (5 + 5x) Reorder the terms: 13 + -3x = 6 + 5 + 4x + 5x Combine like terms: 6 + 5 = 11 13 + -3x = 11 + 4x + 5x Combine like terms: 4x + 5x = 9x 13 + -3x = 11 + 9x Solving 13 + -3x = 11 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 13 + -3x + -9x = 11 + 9x + -9x Combine like terms: -3x + -9x = -12x 13 + -12x = 11 + 9x + -9x Combine like terms: 9x + -9x = 0 13 + -12x = 11 + 0 13 + -12x = 11 Add '-13' to each side of the equation. 13 + -13 + -12x = 11 + -13 Combine like terms: 13 + -13 = 0 0 + -12x = 11 + -13 -12x = 11 + -13 Combine like terms: 11 + -13 = -2 -12x = -2 Divide each side by '-12'. x = 0.1666666667 Simplifying x = 0.1666666667
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