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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 = -2 -12 + 0.75x = -2 + 2x Solving -12 + 0.75x = -2 + 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 = -2 + 2x + -2x Combine like terms: 0.75x + -2x = -1.25x -12 + -1.25x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + -1.25x = -2 + 0 -12 + -1.25x = -2 Add '12' to each side of the equation. -12 + 12 + -1.25x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -1.25x = -2 + 12 -1.25x = -2 + 12 Combine like terms: -2 + 12 = 10 -1.25x = 10 Divide each side by '-1.25'. x = -8 Simplifying x = -8
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