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Simplifying 3 + -4(x + -3) + -1(2 + -1x) = 5(3x + -5) Reorder the terms: 3 + -4(-3 + x) + -1(2 + -1x) = 5(3x + -5) 3 + (-3 * -4 + x * -4) + -1(2 + -1x) = 5(3x + -5) 3 + (12 + -4x) + -1(2 + -1x) = 5(3x + -5) 3 + 12 + -4x + (2 * -1 + -1x * -1) = 5(3x + -5) 3 + 12 + -4x + (-2 + 1x) = 5(3x + -5) Reorder the terms: 3 + 12 + -2 + -4x + 1x = 5(3x + -5) Combine like terms: 3 + 12 = 15 15 + -2 + -4x + 1x = 5(3x + -5) Combine like terms: 15 + -2 = 13 13 + -4x + 1x = 5(3x + -5) Combine like terms: -4x + 1x = -3x 13 + -3x = 5(3x + -5) Reorder the terms: 13 + -3x = 5(-5 + 3x) 13 + -3x = (-5 * 5 + 3x * 5) 13 + -3x = (-25 + 15x) Solving 13 + -3x = -25 + 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. 13 + -3x + -15x = -25 + 15x + -15x Combine like terms: -3x + -15x = -18x 13 + -18x = -25 + 15x + -15x Combine like terms: 15x + -15x = 0 13 + -18x = -25 + 0 13 + -18x = -25 Add '-13' to each side of the equation. 13 + -13 + -18x = -25 + -13 Combine like terms: 13 + -13 = 0 0 + -18x = -25 + -13 -18x = -25 + -13 Combine like terms: -25 + -13 = -38 -18x = -38 Divide each side by '-18'. x = 2.111111111 Simplifying x = 2.111111111
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