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Simplifying 114(x + -1) + -112(3x + 2) = 0 Reorder the terms: 114(-1 + x) + -112(3x + 2) = 0 (-1 * 114 + x * 114) + -112(3x + 2) = 0 (-114 + 114x) + -112(3x + 2) = 0 Reorder the terms: -114 + 114x + -112(2 + 3x) = 0 -114 + 114x + (2 * -112 + 3x * -112) = 0 -114 + 114x + (-224 + -336x) = 0 Reorder the terms: -114 + -224 + 114x + -336x = 0 Combine like terms: -114 + -224 = -338 -338 + 114x + -336x = 0 Combine like terms: 114x + -336x = -222x -338 + -222x = 0 Solving -338 + -222x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '338' to each side of the equation. -338 + 338 + -222x = 0 + 338 Combine like terms: -338 + 338 = 0 0 + -222x = 0 + 338 -222x = 0 + 338 Combine like terms: 0 + 338 = 338 -222x = 338 Divide each side by '-222'. x = -1.522522523 Simplifying x = -1.522522523
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