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Simplifying 5(-3x + 1) = -14(x + 1) Reorder the terms: 5(1 + -3x) = -14(x + 1) (1 * 5 + -3x * 5) = -14(x + 1) (5 + -15x) = -14(x + 1) Reorder the terms: 5 + -15x = -14(1 + x) 5 + -15x = (1 * -14 + x * -14) 5 + -15x = (-14 + -14x) Solving 5 + -15x = -14 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 5 + -15x + 14x = -14 + -14x + 14x Combine like terms: -15x + 14x = -1x 5 + -1x = -14 + -14x + 14x Combine like terms: -14x + 14x = 0 5 + -1x = -14 + 0 5 + -1x = -14 Add '-5' to each side of the equation. 5 + -5 + -1x = -14 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -14 + -5 -1x = -14 + -5 Combine like terms: -14 + -5 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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