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Simplifying 6170 = 0.15(x + -14600) + 1460 Reorder the terms: 6170 = 0.15(-14600 + x) + 1460 6170 = (-14600 * 0.15 + x * 0.15) + 1460 6170 = (-2190 + 0.15x) + 1460 Reorder the terms: 6170 = -2190 + 1460 + 0.15x Combine like terms: -2190 + 1460 = -730 6170 = -730 + 0.15x Solving 6170 = -730 + 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. 6170 + -0.15x = -730 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 6170 + -0.15x = -730 + 0.00 6170 + -0.15x = -730 Add '-6170' to each side of the equation. 6170 + -6170 + -0.15x = -730 + -6170 Combine like terms: 6170 + -6170 = 0 0 + -0.15x = -730 + -6170 -0.15x = -730 + -6170 Combine like terms: -730 + -6170 = -6900 -0.15x = -6900 Divide each side by '-0.15'. x = 46000 Simplifying x = 46000
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