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Simplifying -0.42(2000) + 0.5x = 0.04(2000 + x) Multiply -0.42 * 2000 -840 + 0.5x = 0.04(2000 + x) -840 + 0.5x = (2000 * 0.04 + x * 0.04) -840 + 0.5x = (80 + 0.04x) Solving -840 + 0.5x = 80 + 0.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.04x' to each side of the equation. -840 + 0.5x + -0.04x = 80 + 0.04x + -0.04x Combine like terms: 0.5x + -0.04x = 0.46x -840 + 0.46x = 80 + 0.04x + -0.04x Combine like terms: 0.04x + -0.04x = 0.00 -840 + 0.46x = 80 + 0.00 -840 + 0.46x = 80 Add '840' to each side of the equation. -840 + 840 + 0.46x = 80 + 840 Combine like terms: -840 + 840 = 0 0 + 0.46x = 80 + 840 0.46x = 80 + 840 Combine like terms: 80 + 840 = 920 0.46x = 920 Divide each side by '0.46'. x = 2000 Simplifying x = 2000
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