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Simplifying 10(-5x + 1) = -14(2x + -7) Reorder the terms: 10(1 + -5x) = -14(2x + -7) (1 * 10 + -5x * 10) = -14(2x + -7) (10 + -50x) = -14(2x + -7) Reorder the terms: 10 + -50x = -14(-7 + 2x) 10 + -50x = (-7 * -14 + 2x * -14) 10 + -50x = (98 + -28x) Solving 10 + -50x = 98 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 10 + -50x + 28x = 98 + -28x + 28x Combine like terms: -50x + 28x = -22x 10 + -22x = 98 + -28x + 28x Combine like terms: -28x + 28x = 0 10 + -22x = 98 + 0 10 + -22x = 98 Add '-10' to each side of the equation. 10 + -10 + -22x = 98 + -10 Combine like terms: 10 + -10 = 0 0 + -22x = 98 + -10 -22x = 98 + -10 Combine like terms: 98 + -10 = 88 -22x = 88 Divide each side by '-22'. x = -4 Simplifying x = -4
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