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Simplifying 10(-14x + 8) = -13(x + -2) Reorder the terms: 10(8 + -14x) = -13(x + -2) (8 * 10 + -14x * 10) = -13(x + -2) (80 + -140x) = -13(x + -2) Reorder the terms: 80 + -140x = -13(-2 + x) 80 + -140x = (-2 * -13 + x * -13) 80 + -140x = (26 + -13x) Solving 80 + -140x = 26 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 80 + -140x + 13x = 26 + -13x + 13x Combine like terms: -140x + 13x = -127x 80 + -127x = 26 + -13x + 13x Combine like terms: -13x + 13x = 0 80 + -127x = 26 + 0 80 + -127x = 26 Add '-80' to each side of the equation. 80 + -80 + -127x = 26 + -80 Combine like terms: 80 + -80 = 0 0 + -127x = 26 + -80 -127x = 26 + -80 Combine like terms: 26 + -80 = -54 -127x = -54 Divide each side by '-127'. x = 0.4251968504 Simplifying x = 0.4251968504
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