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Simplifying 14(x + -5) + -10(x + 6) = 86 Reorder the terms: 14(-5 + x) + -10(x + 6) = 86 (-5 * 14 + x * 14) + -10(x + 6) = 86 (-70 + 14x) + -10(x + 6) = 86 Reorder the terms: -70 + 14x + -10(6 + x) = 86 -70 + 14x + (6 * -10 + x * -10) = 86 -70 + 14x + (-60 + -10x) = 86 Reorder the terms: -70 + -60 + 14x + -10x = 86 Combine like terms: -70 + -60 = -130 -130 + 14x + -10x = 86 Combine like terms: 14x + -10x = 4x -130 + 4x = 86 Solving -130 + 4x = 86 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '130' to each side of the equation. -130 + 130 + 4x = 86 + 130 Combine like terms: -130 + 130 = 0 0 + 4x = 86 + 130 4x = 86 + 130 Combine like terms: 86 + 130 = 216 4x = 216 Divide each side by '4'. x = 54 Simplifying x = 54
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