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Simplifying 8(0.75x + -7) = 8(0.875x) Reorder the terms: 8(-7 + 0.75x) = 8(0.875x) (-7 * 8 + 0.75x * 8) = 8(0.875x) (-56 + 6x) = 8(0.875x) Remove parenthesis around (0.875x) -56 + 6x = 8 * 0.875x Multiply 8 * 0.875 -56 + 6x = 7x Solving -56 + 6x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -56 + 6x + -7x = 7x + -7x Combine like terms: 6x + -7x = -1x -56 + -1x = 7x + -7x Combine like terms: 7x + -7x = 0 -56 + -1x = 0 Add '56' to each side of the equation. -56 + 56 + -1x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -1x = 0 + 56 -1x = 0 + 56 Combine like terms: 0 + 56 = 56 -1x = 56 Divide each side by '-1'. x = -56 Simplifying x = -56
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