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Simplifying 1.375(4x + -8) + -2 = 1.375(8x + -12) Reorder the terms: 1.375(-8 + 4x) + -2 = 1.375(8x + -12) (-8 * 1.375 + 4x * 1.375) + -2 = 1.375(8x + -12) (-11 + 5.5x) + -2 = 1.375(8x + -12) Reorder the terms: -11 + -2 + 5.5x = 1.375(8x + -12) Combine like terms: -11 + -2 = -13 -13 + 5.5x = 1.375(8x + -12) Reorder the terms: -13 + 5.5x = 1.375(-12 + 8x) -13 + 5.5x = (-12 * 1.375 + 8x * 1.375) -13 + 5.5x = (-16.5 + 11x) Solving -13 + 5.5x = -16.5 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -13 + 5.5x + -11x = -16.5 + 11x + -11x Combine like terms: 5.5x + -11x = -5.5x -13 + -5.5x = -16.5 + 11x + -11x Combine like terms: 11x + -11x = 0 -13 + -5.5x = -16.5 + 0 -13 + -5.5x = -16.5 Add '13' to each side of the equation. -13 + 13 + -5.5x = -16.5 + 13 Combine like terms: -13 + 13 = 0 0 + -5.5x = -16.5 + 13 -5.5x = -16.5 + 13 Combine like terms: -16.5 + 13 = -3.5 -5.5x = -3.5 Divide each side by '-5.5'. x = 0.6363636364 Simplifying x = 0.6363636364
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