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Simplifying 4x + 7 = 0.125(8x + -32) Reorder the terms: 7 + 4x = 0.125(8x + -32) Reorder the terms: 7 + 4x = 0.125(-32 + 8x) 7 + 4x = (-32 * 0.125 + 8x * 0.125) 7 + 4x = (-4 + 1x) Solving 7 + 4x = -4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 4x + -1x = -4 + 1x + -1x Combine like terms: 4x + -1x = 3x 7 + 3x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + 3x = -4 + 0 7 + 3x = -4 Add '-7' to each side of the equation. 7 + -7 + 3x = -4 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = -4 + -7 3x = -4 + -7 Combine like terms: -4 + -7 = -11 3x = -11 Divide each side by '3'. x = -3.666666667 Simplifying x = -3.666666667
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