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Simplifying 0.5(3 + -1x) + -4(0.3x + -0.17) + -0.48 = 0 (3 * 0.5 + -1x * 0.5) + -4(0.3x + -0.17) + -0.48 = 0 (1.5 + -0.5x) + -4(0.3x + -0.17) + -0.48 = 0 Reorder the terms: 1.5 + -0.5x + -4(-0.17 + 0.3x) + -0.48 = 0 1.5 + -0.5x + (-0.17 * -4 + 0.3x * -4) + -0.48 = 0 1.5 + -0.5x + (0.68 + -1.2x) + -0.48 = 0 Reorder the terms: 1.5 + 0.68 + -0.48 + -0.5x + -1.2x = 0 Combine like terms: 1.5 + 0.68 = 2.18 2.18 + -0.48 + -0.5x + -1.2x = 0 Combine like terms: 2.18 + -0.48 = 1.7 1.7 + -0.5x + -1.2x = 0 Combine like terms: -0.5x + -1.2x = -1.7x 1.7 + -1.7x = 0 Solving 1.7 + -1.7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.7' to each side of the equation. 1.7 + -1.7 + -1.7x = 0 + -1.7 Combine like terms: 1.7 + -1.7 = 0.0 0.0 + -1.7x = 0 + -1.7 -1.7x = 0 + -1.7 Combine like terms: 0 + -1.7 = -1.7 -1.7x = -1.7 Divide each side by '-1.7'. x = 1 Simplifying x = 1
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