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Simplifying -0.10(19) + 0.75X = 0.05(X + -10) Multiply -0.10 * 19 -1.9 + 0.75X = 0.05(X + -10) Reorder the terms: -1.9 + 0.75X = 0.05(-10 + X) -1.9 + 0.75X = (-10 * 0.05 + X * 0.05) -1.9 + 0.75X = (-0.5 + 0.05X) Solving -1.9 + 0.75X = -0.5 + 0.05X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.05X' to each side of the equation. -1.9 + 0.75X + -0.05X = -0.5 + 0.05X + -0.05X Combine like terms: 0.75X + -0.05X = 0.7X -1.9 + 0.7X = -0.5 + 0.05X + -0.05X Combine like terms: 0.05X + -0.05X = 0.00 -1.9 + 0.7X = -0.5 + 0.00 -1.9 + 0.7X = -0.5 Add '1.9' to each side of the equation. -1.9 + 1.9 + 0.7X = -0.5 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + 0.7X = -0.5 + 1.9 0.7X = -0.5 + 1.9 Combine like terms: -0.5 + 1.9 = 1.4 0.7X = 1.4 Divide each side by '0.7'. X = 2 Simplifying X = 2
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