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Simplifying 0.7(x + 200) = 0.74x + -156 Reorder the terms: 0.7(200 + x) = 0.74x + -156 (200 * 0.7 + x * 0.7) = 0.74x + -156 (140 + 0.7x) = 0.74x + -156 Reorder the terms: 140 + 0.7x = -156 + 0.74x Solving 140 + 0.7x = -156 + 0.74x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.74x' to each side of the equation. 140 + 0.7x + -0.74x = -156 + 0.74x + -0.74x Combine like terms: 0.7x + -0.74x = -0.04x 140 + -0.04x = -156 + 0.74x + -0.74x Combine like terms: 0.74x + -0.74x = 0.00 140 + -0.04x = -156 + 0.00 140 + -0.04x = -156 Add '-140' to each side of the equation. 140 + -140 + -0.04x = -156 + -140 Combine like terms: 140 + -140 = 0 0 + -0.04x = -156 + -140 -0.04x = -156 + -140 Combine like terms: -156 + -140 = -296 -0.04x = -296 Divide each side by '-0.04'. x = 7400 Simplifying x = 7400
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