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Simplifying 2 * 3(5 + -3x) + -1(-4x + 6) = (8x + 11) + -1(3x + -6) Multiply 2 * 3 6(5 + -3x) + -1(-4x + 6) = (8x + 11) + -1(3x + -6) (5 * 6 + -3x * 6) + -1(-4x + 6) = (8x + 11) + -1(3x + -6) (30 + -18x) + -1(-4x + 6) = (8x + 11) + -1(3x + -6) Reorder the terms: 30 + -18x + -1(6 + -4x) = (8x + 11) + -1(3x + -6) 30 + -18x + (6 * -1 + -4x * -1) = (8x + 11) + -1(3x + -6) 30 + -18x + (-6 + 4x) = (8x + 11) + -1(3x + -6) Reorder the terms: 30 + -6 + -18x + 4x = (8x + 11) + -1(3x + -6) Combine like terms: 30 + -6 = 24 24 + -18x + 4x = (8x + 11) + -1(3x + -6) Combine like terms: -18x + 4x = -14x 24 + -14x = (8x + 11) + -1(3x + -6) Reorder the terms: 24 + -14x = (11 + 8x) + -1(3x + -6) Remove parenthesis around (11 + 8x) 24 + -14x = 11 + 8x + -1(3x + -6) Reorder the terms: 24 + -14x = 11 + 8x + -1(-6 + 3x) 24 + -14x = 11 + 8x + (-6 * -1 + 3x * -1) 24 + -14x = 11 + 8x + (6 + -3x) Reorder the terms: 24 + -14x = 11 + 6 + 8x + -3x Combine like terms: 11 + 6 = 17 24 + -14x = 17 + 8x + -3x Combine like terms: 8x + -3x = 5x 24 + -14x = 17 + 5x Solving 24 + -14x = 17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + -14x + -5x = 17 + 5x + -5x Combine like terms: -14x + -5x = -19x 24 + -19x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -19x = 17 + 0 24 + -19x = 17 Add '-24' to each side of the equation. 24 + -24 + -19x = 17 + -24 Combine like terms: 24 + -24 = 0 0 + -19x = 17 + -24 -19x = 17 + -24 Combine like terms: 17 + -24 = -7 -19x = -7 Divide each side by '-19'. x = 0.3684210526 Simplifying x = 0.3684210526
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