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Simplifying 8 + -0.5(6x + 11.25) = 3(2x + -4) + -4 Reorder the terms: 8 + -0.5(11.25 + 6x) = 3(2x + -4) + -4 8 + (11.25 * -0.5 + 6x * -0.5) = 3(2x + -4) + -4 8 + (-5.625 + -3x) = 3(2x + -4) + -4 Combine like terms: 8 + -5.625 = 2.375 2.375 + -3x = 3(2x + -4) + -4 Reorder the terms: 2.375 + -3x = 3(-4 + 2x) + -4 2.375 + -3x = (-4 * 3 + 2x * 3) + -4 2.375 + -3x = (-12 + 6x) + -4 Reorder the terms: 2.375 + -3x = -12 + -4 + 6x Combine like terms: -12 + -4 = -16 2.375 + -3x = -16 + 6x Solving 2.375 + -3x = -16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2.375 + -3x + -6x = -16 + 6x + -6x Combine like terms: -3x + -6x = -9x 2.375 + -9x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 2.375 + -9x = -16 + 0 2.375 + -9x = -16 Add '-2.375' to each side of the equation. 2.375 + -2.375 + -9x = -16 + -2.375 Combine like terms: 2.375 + -2.375 = 0.000 0.000 + -9x = -16 + -2.375 -9x = -16 + -2.375 Combine like terms: -16 + -2.375 = -18.375 -9x = -18.375 Divide each side by '-9'. x = 2.041666667 Simplifying x = 2.041666667
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