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Simplifying 3(x + 20) + 10x + -12 = -9 + -6x Reorder the terms: 3(20 + x) + 10x + -12 = -9 + -6x (20 * 3 + x * 3) + 10x + -12 = -9 + -6x (60 + 3x) + 10x + -12 = -9 + -6x Reorder the terms: 60 + -12 + 3x + 10x = -9 + -6x Combine like terms: 60 + -12 = 48 48 + 3x + 10x = -9 + -6x Combine like terms: 3x + 10x = 13x 48 + 13x = -9 + -6x Solving 48 + 13x = -9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 48 + 13x + 6x = -9 + -6x + 6x Combine like terms: 13x + 6x = 19x 48 + 19x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 48 + 19x = -9 + 0 48 + 19x = -9 Add '-48' to each side of the equation. 48 + -48 + 19x = -9 + -48 Combine like terms: 48 + -48 = 0 0 + 19x = -9 + -48 19x = -9 + -48 Combine like terms: -9 + -48 = -57 19x = -57 Divide each side by '19'. x = -3 Simplifying x = -3
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