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Simplifying 5(-12 + -1x) + -10 = 10x + -100 (-12 * 5 + -1x * 5) + -10 = 10x + -100 (-60 + -5x) + -10 = 10x + -100 Reorder the terms: -60 + -10 + -5x = 10x + -100 Combine like terms: -60 + -10 = -70 -70 + -5x = 10x + -100 Reorder the terms: -70 + -5x = -100 + 10x Solving -70 + -5x = -100 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -70 + -5x + -10x = -100 + 10x + -10x Combine like terms: -5x + -10x = -15x -70 + -15x = -100 + 10x + -10x Combine like terms: 10x + -10x = 0 -70 + -15x = -100 + 0 -70 + -15x = -100 Add '70' to each side of the equation. -70 + 70 + -15x = -100 + 70 Combine like terms: -70 + 70 = 0 0 + -15x = -100 + 70 -15x = -100 + 70 Combine like terms: -100 + 70 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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