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Simplifying 1.333(x + -2) + -0.5 = 2(0.75x + -1) Reorder the terms: 1.333(-2 + x) + -0.5 = 2(0.75x + -1) (-2 * 1.333 + x * 1.333) + -0.5 = 2(0.75x + -1) (-2.666 + 1.333x) + -0.5 = 2(0.75x + -1) Reorder the terms: -2.666 + -0.5 + 1.333x = 2(0.75x + -1) Combine like terms: -2.666 + -0.5 = -3.166 -3.166 + 1.333x = 2(0.75x + -1) Reorder the terms: -3.166 + 1.333x = 2(-1 + 0.75x) -3.166 + 1.333x = (-1 * 2 + 0.75x * 2) -3.166 + 1.333x = (-2 + 1.5x) Solving -3.166 + 1.333x = -2 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -3.166 + 1.333x + -1.5x = -2 + 1.5x + -1.5x Combine like terms: 1.333x + -1.5x = -0.167x -3.166 + -0.167x = -2 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -3.166 + -0.167x = -2 + 0.0 -3.166 + -0.167x = -2 Add '3.166' to each side of the equation. -3.166 + 3.166 + -0.167x = -2 + 3.166 Combine like terms: -3.166 + 3.166 = 0.000 0.000 + -0.167x = -2 + 3.166 -0.167x = -2 + 3.166 Combine like terms: -2 + 3.166 = 1.166 -0.167x = 1.166 Divide each side by '-0.167'. x = -6.982035928 Simplifying x = -6.982035928
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