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Simplifying 0.5(0.3x + 3) + -0.4(1.8x + -0.2) = x Reorder the terms: 0.5(3 + 0.3x) + -0.4(1.8x + -0.2) = x (3 * 0.5 + 0.3x * 0.5) + -0.4(1.8x + -0.2) = x (1.5 + 0.15x) + -0.4(1.8x + -0.2) = x Reorder the terms: 1.5 + 0.15x + -0.4(-0.2 + 1.8x) = x 1.5 + 0.15x + (-0.2 * -0.4 + 1.8x * -0.4) = x 1.5 + 0.15x + (0.08 + -0.72x) = x Reorder the terms: 1.5 + 0.08 + 0.15x + -0.72x = x Combine like terms: 1.5 + 0.08 = 1.58 1.58 + 0.15x + -0.72x = x Combine like terms: 0.15x + -0.72x = -0.57x 1.58 + -0.57x = x Solving 1.58 + -0.57x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1.58 + -0.57x + -1x = x + -1x Combine like terms: -0.57x + -1x = -1.57x 1.58 + -1.57x = x + -1x Combine like terms: x + -1x = 0 1.58 + -1.57x = 0 Add '-1.58' to each side of the equation. 1.58 + -1.58 + -1.57x = 0 + -1.58 Combine like terms: 1.58 + -1.58 = 0.00 0.00 + -1.57x = 0 + -1.58 -1.57x = 0 + -1.58 Combine like terms: 0 + -1.58 = -1.58 -1.57x = -1.58 Divide each side by '-1.57'. x = 1.006369427 Simplifying x = 1.006369427
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