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Simplifying 0.75(x + -16) = -3(x + -3) + 4 Reorder the terms: 0.75(-16 + x) = -3(x + -3) + 4 (-16 * 0.75 + x * 0.75) = -3(x + -3) + 4 (-12 + 0.75x) = -3(x + -3) + 4 Reorder the terms: -12 + 0.75x = -3(-3 + x) + 4 -12 + 0.75x = (-3 * -3 + x * -3) + 4 -12 + 0.75x = (9 + -3x) + 4 Reorder the terms: -12 + 0.75x = 9 + 4 + -3x Combine like terms: 9 + 4 = 13 -12 + 0.75x = 13 + -3x Solving -12 + 0.75x = 13 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + 0.75x + 3x = 13 + -3x + 3x Combine like terms: 0.75x + 3x = 3.75x -12 + 3.75x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 3.75x = 13 + 0 -12 + 3.75x = 13 Add '12' to each side of the equation. -12 + 12 + 3.75x = 13 + 12 Combine like terms: -12 + 12 = 0 0 + 3.75x = 13 + 12 3.75x = 13 + 12 Combine like terms: 13 + 12 = 25 3.75x = 25 Divide each side by '3.75'. x = 6.666666667 Simplifying x = 6.666666667
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