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Simplifying 5(-3x + 1) + x = x + -10 Reorder the terms: 5(1 + -3x) + x = x + -10 (1 * 5 + -3x * 5) + x = x + -10 (5 + -15x) + x = x + -10 Combine like terms: -15x + x = -14x 5 + -14x = x + -10 Reorder the terms: 5 + -14x = -10 + x Solving 5 + -14x = -10 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + -14x + -1x = -10 + x + -1x Combine like terms: -14x + -1x = -15x 5 + -15x = -10 + x + -1x Combine like terms: x + -1x = 0 5 + -15x = -10 + 0 5 + -15x = -10 Add '-5' to each side of the equation. 5 + -5 + -15x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -15x = -10 + -5 -15x = -10 + -5 Combine like terms: -10 + -5 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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