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Simplifying 0.75(x + -16) = 2(x + 3) + 2 Reorder the terms: 0.75(-16 + x) = 2(x + 3) + 2 (-16 * 0.75 + x * 0.75) = 2(x + 3) + 2 (-12 + 0.75x) = 2(x + 3) + 2 Reorder the terms: -12 + 0.75x = 2(3 + x) + 2 -12 + 0.75x = (3 * 2 + x * 2) + 2 -12 + 0.75x = (6 + 2x) + 2 Reorder the terms: -12 + 0.75x = 6 + 2 + 2x Combine like terms: 6 + 2 = 8 -12 + 0.75x = 8 + 2x Solving -12 + 0.75x = 8 + 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 = 8 + 2x + -2x Combine like terms: 0.75x + -2x = -1.25x -12 + -1.25x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -1.25x = 8 + 0 -12 + -1.25x = 8 Add '12' to each side of the equation. -12 + 12 + -1.25x = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -1.25x = 8 + 12 -1.25x = 8 + 12 Combine like terms: 8 + 12 = 20 -1.25x = 20 Divide each side by '-1.25'. x = -16 Simplifying x = -16
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