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Simplifying 12.5(x + 4) = 2x + -2(4 + -1x) + -7 Reorder the terms: 12.5(4 + x) = 2x + -2(4 + -1x) + -7 (4 * 12.5 + x * 12.5) = 2x + -2(4 + -1x) + -7 (50 + 12.5x) = 2x + -2(4 + -1x) + -7 50 + 12.5x = 2x + (4 * -2 + -1x * -2) + -7 50 + 12.5x = 2x + (-8 + 2x) + -7 Reorder the terms: 50 + 12.5x = -8 + -7 + 2x + 2x Combine like terms: -8 + -7 = -15 50 + 12.5x = -15 + 2x + 2x Combine like terms: 2x + 2x = 4x 50 + 12.5x = -15 + 4x Solving 50 + 12.5x = -15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 50 + 12.5x + -4x = -15 + 4x + -4x Combine like terms: 12.5x + -4x = 8.5x 50 + 8.5x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 50 + 8.5x = -15 + 0 50 + 8.5x = -15 Add '-50' to each side of the equation. 50 + -50 + 8.5x = -15 + -50 Combine like terms: 50 + -50 = 0 0 + 8.5x = -15 + -50 8.5x = -15 + -50 Combine like terms: -15 + -50 = -65 8.5x = -65 Divide each side by '8.5'. x = -7.647058824 Simplifying x = -7.647058824
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