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Simplifying 7(12x + -17) = 12(-4x + 11) Reorder the terms: 7(-17 + 12x) = 12(-4x + 11) (-17 * 7 + 12x * 7) = 12(-4x + 11) (-119 + 84x) = 12(-4x + 11) Reorder the terms: -119 + 84x = 12(11 + -4x) -119 + 84x = (11 * 12 + -4x * 12) -119 + 84x = (132 + -48x) Solving -119 + 84x = 132 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. -119 + 84x + 48x = 132 + -48x + 48x Combine like terms: 84x + 48x = 132x -119 + 132x = 132 + -48x + 48x Combine like terms: -48x + 48x = 0 -119 + 132x = 132 + 0 -119 + 132x = 132 Add '119' to each side of the equation. -119 + 119 + 132x = 132 + 119 Combine like terms: -119 + 119 = 0 0 + 132x = 132 + 119 132x = 132 + 119 Combine like terms: 132 + 119 = 251 132x = 251 Divide each side by '132'. x = 1.901515152 Simplifying x = 1.901515152
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