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Simplifying 15 + -1(x + -6) = 6(3x + 5) Reorder the terms: 15 + -1(-6 + x) = 6(3x + 5) 15 + (-6 * -1 + x * -1) = 6(3x + 5) 15 + (6 + -1x) = 6(3x + 5) Combine like terms: 15 + 6 = 21 21 + -1x = 6(3x + 5) Reorder the terms: 21 + -1x = 6(5 + 3x) 21 + -1x = (5 * 6 + 3x * 6) 21 + -1x = (30 + 18x) Solving 21 + -1x = 30 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 21 + -1x + -18x = 30 + 18x + -18x Combine like terms: -1x + -18x = -19x 21 + -19x = 30 + 18x + -18x Combine like terms: 18x + -18x = 0 21 + -19x = 30 + 0 21 + -19x = 30 Add '-21' to each side of the equation. 21 + -21 + -19x = 30 + -21 Combine like terms: 21 + -21 = 0 0 + -19x = 30 + -21 -19x = 30 + -21 Combine like terms: 30 + -21 = 9 -19x = 9 Divide each side by '-19'. x = -0.4736842105 Simplifying x = -0.4736842105
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