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Simplifying 650 + 0.1x = 1050 + 0.15(x + -7000) Reorder the terms: 650 + 0.1x = 1050 + 0.15(-7000 + x) 650 + 0.1x = 1050 + (-7000 * 0.15 + x * 0.15) 650 + 0.1x = 1050 + (-1050 + 0.15x) Combine like terms: 1050 + -1050 = 0 650 + 0.1x = 0 + 0.15x 650 + 0.1x = 0.15x Solving 650 + 0.1x = 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 650 + 0.1x + -0.15x = 0.15x + -0.15x Combine like terms: 0.1x + -0.15x = -0.05x 650 + -0.05x = 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 650 + -0.05x = 0.00 Add '-650' to each side of the equation. 650 + -650 + -0.05x = 0.00 + -650 Combine like terms: 650 + -650 = 0 0 + -0.05x = 0.00 + -650 -0.05x = 0.00 + -650 Combine like terms: 0.00 + -650 = -650 -0.05x = -650 Divide each side by '-0.05'. x = 13000 Simplifying x = 13000
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