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Simplifying 0.125(x + 4) = 2x + -5(4 + -1x) + -7 Reorder the terms: 0.125(4 + x) = 2x + -5(4 + -1x) + -7 (4 * 0.125 + x * 0.125) = 2x + -5(4 + -1x) + -7 (0.5 + 0.125x) = 2x + -5(4 + -1x) + -7 0.5 + 0.125x = 2x + (4 * -5 + -1x * -5) + -7 0.5 + 0.125x = 2x + (-20 + 5x) + -7 Reorder the terms: 0.5 + 0.125x = -20 + -7 + 2x + 5x Combine like terms: -20 + -7 = -27 0.5 + 0.125x = -27 + 2x + 5x Combine like terms: 2x + 5x = 7x 0.5 + 0.125x = -27 + 7x Solving 0.5 + 0.125x = -27 + 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. 0.5 + 0.125x + -7x = -27 + 7x + -7x Combine like terms: 0.125x + -7x = -6.875x 0.5 + -6.875x = -27 + 7x + -7x Combine like terms: 7x + -7x = 0 0.5 + -6.875x = -27 + 0 0.5 + -6.875x = -27 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -6.875x = -27 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -6.875x = -27 + -0.5 -6.875x = -27 + -0.5 Combine like terms: -27 + -0.5 = -27.5 -6.875x = -27.5 Divide each side by '-6.875'. x = 4 Simplifying x = 4
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