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Simplifying -10(87) + 0.90x = 0.05(x + -4) Multiply -10 * 87 -870 + 0.90x = 0.05(x + -4) Reorder the terms: -870 + 0.90x = 0.05(-4 + x) -870 + 0.90x = (-4 * 0.05 + x * 0.05) -870 + 0.90x = (-0.2 + 0.05x) Solving -870 + 0.90x = -0.2 + 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. -870 + 0.90x + -0.05x = -0.2 + 0.05x + -0.05x Combine like terms: 0.90x + -0.05x = 0.85x -870 + 0.85x = -0.2 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -870 + 0.85x = -0.2 + 0.00 -870 + 0.85x = -0.2 Add '870' to each side of the equation. -870 + 870 + 0.85x = -0.2 + 870 Combine like terms: -870 + 870 = 0 0 + 0.85x = -0.2 + 870 0.85x = -0.2 + 870 Combine like terms: -0.2 + 870 = 869.8 0.85x = 869.8 Divide each side by '0.85'. x = 1023.294118 Simplifying x = 1023.294118
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