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Simplifying 0.5 = 4.1x + -1(1.3x + -4) Reorder the terms: 0.5 = 4.1x + -1(-4 + 1.3x) 0.5 = 4.1x + (-4 * -1 + 1.3x * -1) 0.5 = 4.1x + (4 + -1.3x) Reorder the terms: 0.5 = 4 + 4.1x + -1.3x Combine like terms: 4.1x + -1.3x = 2.8x 0.5 = 4 + 2.8x Solving 0.5 = 4 + 2.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.8x' to each side of the equation. 0.5 + -2.8x = 4 + 2.8x + -2.8x Combine like terms: 2.8x + -2.8x = 0.0 0.5 + -2.8x = 4 + 0.0 0.5 + -2.8x = 4 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -2.8x = 4 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -2.8x = 4 + -0.5 -2.8x = 4 + -0.5 Combine like terms: 4 + -0.5 = 3.5 -2.8x = 3.5 Divide each side by '-2.8'. x = -1.25 Simplifying x = -1.25
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