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Simplifying 840 + 0.10x = (6000 + x)(0.12) Reorder the terms for easier multiplication: 840 + 0.10x = 0.12(6000 + x) 840 + 0.10x = (6000 * 0.12 + x * 0.12) 840 + 0.10x = (720 + 0.12x) Solving 840 + 0.10x = 720 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 840 + 0.10x + -0.12x = 720 + 0.12x + -0.12x Combine like terms: 0.10x + -0.12x = -0.02x 840 + -0.02x = 720 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 840 + -0.02x = 720 + 0.00 840 + -0.02x = 720 Add '-840' to each side of the equation. 840 + -840 + -0.02x = 720 + -840 Combine like terms: 840 + -840 = 0 0 + -0.02x = 720 + -840 -0.02x = 720 + -840 Combine like terms: 720 + -840 = -120 -0.02x = -120 Divide each side by '-0.02'. x = 6000 Simplifying x = 6000
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