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Simplifying 0.18x + 0.3(x + -3) = 0.01(2x + -2) Reorder the terms: 0.18x + 0.3(-3 + x) = 0.01(2x + -2) 0.18x + (-3 * 0.3 + x * 0.3) = 0.01(2x + -2) 0.18x + (-0.9 + 0.3x) = 0.01(2x + -2) Reorder the terms: -0.9 + 0.18x + 0.3x = 0.01(2x + -2) Combine like terms: 0.18x + 0.3x = 0.48x -0.9 + 0.48x = 0.01(2x + -2) Reorder the terms: -0.9 + 0.48x = 0.01(-2 + 2x) -0.9 + 0.48x = (-2 * 0.01 + 2x * 0.01) -0.9 + 0.48x = (-0.02 + 0.02x) Solving -0.9 + 0.48x = -0.02 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -0.9 + 0.48x + -0.02x = -0.02 + 0.02x + -0.02x Combine like terms: 0.48x + -0.02x = 0.46x -0.9 + 0.46x = -0.02 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.9 + 0.46x = -0.02 + 0.00 -0.9 + 0.46x = -0.02 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.46x = -0.02 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.46x = -0.02 + 0.9 0.46x = -0.02 + 0.9 Combine like terms: -0.02 + 0.9 = 0.88 0.46x = 0.88 Divide each side by '0.46'. x = 1.913043478 Simplifying x = 1.913043478
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