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Simplifying 6320 = 0.15(x + -14600) + 1460 Reorder the terms: 6320 = 0.15(-14600 + x) + 1460 6320 = (-14600 * 0.15 + x * 0.15) + 1460 6320 = (-2190 + 0.15x) + 1460 Reorder the terms: 6320 = -2190 + 1460 + 0.15x Combine like terms: -2190 + 1460 = -730 6320 = -730 + 0.15x Solving 6320 = -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. 6320 + -0.15x = -730 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 6320 + -0.15x = -730 + 0.00 6320 + -0.15x = -730 Add '-6320' to each side of the equation. 6320 + -6320 + -0.15x = -730 + -6320 Combine like terms: 6320 + -6320 = 0 0 + -0.15x = -730 + -6320 -0.15x = -730 + -6320 Combine like terms: -730 + -6320 = -7050 -0.15x = -7050 Divide each side by '-0.15'. x = 47000 Simplifying x = 47000
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