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Simplifying 5(1 + -3x) + -10 = -2(6x + -5) + 3 (1 * 5 + -3x * 5) + -10 = -2(6x + -5) + 3 (5 + -15x) + -10 = -2(6x + -5) + 3 Reorder the terms: 5 + -10 + -15x = -2(6x + -5) + 3 Combine like terms: 5 + -10 = -5 -5 + -15x = -2(6x + -5) + 3 Reorder the terms: -5 + -15x = -2(-5 + 6x) + 3 -5 + -15x = (-5 * -2 + 6x * -2) + 3 -5 + -15x = (10 + -12x) + 3 Reorder the terms: -5 + -15x = 10 + 3 + -12x Combine like terms: 10 + 3 = 13 -5 + -15x = 13 + -12x Solving -5 + -15x = 13 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -5 + -15x + 12x = 13 + -12x + 12x Combine like terms: -15x + 12x = -3x -5 + -3x = 13 + -12x + 12x Combine like terms: -12x + 12x = 0 -5 + -3x = 13 + 0 -5 + -3x = 13 Add '5' to each side of the equation. -5 + 5 + -3x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 13 + 5 -3x = 13 + 5 Combine like terms: 13 + 5 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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