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Simplifying 1.90 = 0.50 + 0.10(x + -1) Reorder the terms: 1.90 = 0.50 + 0.10(-1 + x) 1.90 = 0.50 + (-1 * 0.10 + x * 0.10) 1.90 = 0.50 + (-0.1 + 0.10x) Combine like terms: 0.50 + -0.1 = 0.4 1.90 = 0.4 + 0.10x Solving 1.90 = 0.4 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 1.90 + -0.10x = 0.4 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 1.90 + -0.10x = 0.4 + 0.00 1.90 + -0.10x = 0.4 Add '-1.90' to each side of the equation. 1.90 + -1.90 + -0.10x = 0.4 + -1.90 Combine like terms: 1.90 + -1.90 = 0.00 0.00 + -0.10x = 0.4 + -1.90 -0.10x = 0.4 + -1.90 Combine like terms: 0.4 + -1.90 = -1.5 -0.10x = -1.5 Divide each side by '-0.10'. x = 15 Simplifying x = 15
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