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Simplifying 10(8x + -4 + 4) = 8x + -4 + -7(11x + -4 + -12) Reorder the terms: 10(-4 + 4 + 8x) = 8x + -4 + -7(11x + -4 + -12) Combine like terms: -4 + 4 = 0 10(0 + 8x) = 8x + -4 + -7(11x + -4 + -12) 10(8x) = 8x + -4 + -7(11x + -4 + -12) Remove parenthesis around (8x) 10 * 8x = 8x + -4 + -7(11x + -4 + -12) Multiply 10 * 8 80x = 8x + -4 + -7(11x + -4 + -12) Reorder the terms: 80x = 8x + -4 + -7(-4 + -12 + 11x) Combine like terms: -4 + -12 = -16 80x = 8x + -4 + -7(-16 + 11x) 80x = 8x + -4 + (-16 * -7 + 11x * -7) 80x = 8x + -4 + (112 + -77x) Reorder the terms: 80x = -4 + 112 + 8x + -77x Combine like terms: -4 + 112 = 108 80x = 108 + 8x + -77x Combine like terms: 8x + -77x = -69x 80x = 108 + -69x Solving 80x = 108 + -69x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '69x' to each side of the equation. 80x + 69x = 108 + -69x + 69x Combine like terms: 80x + 69x = 149x 149x = 108 + -69x + 69x Combine like terms: -69x + 69x = 0 149x = 108 + 0 149x = 108 Divide each side by '149'. x = 0.7248322148 Simplifying x = 0.7248322148
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