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Simplifying 0.75(x + -16) = -2(x + -3) + 4 Reorder the terms: 0.75(-16 + x) = -2(x + -3) + 4 (-16 * 0.75 + x * 0.75) = -2(x + -3) + 4 (-12 + 0.75x) = -2(x + -3) + 4 Reorder the terms: -12 + 0.75x = -2(-3 + x) + 4 -12 + 0.75x = (-3 * -2 + x * -2) + 4 -12 + 0.75x = (6 + -2x) + 4 Reorder the terms: -12 + 0.75x = 6 + 4 + -2x Combine like terms: 6 + 4 = 10 -12 + 0.75x = 10 + -2x Solving -12 + 0.75x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 0.75x + 2x = 10 + -2x + 2x Combine like terms: 0.75x + 2x = 2.75x -12 + 2.75x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 2.75x = 10 + 0 -12 + 2.75x = 10 Add '12' to each side of the equation. -12 + 12 + 2.75x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 2.75x = 10 + 12 2.75x = 10 + 12 Combine like terms: 10 + 12 = 22 2.75x = 22 Divide each side by '2.75'. x = 8 Simplifying x = 8
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