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Simplifying 0.75(2x + -1) + -0.5(x + -3) = 0.3(4x + -1) Reorder the terms: 0.75(-1 + 2x) + -0.5(x + -3) = 0.3(4x + -1) (-1 * 0.75 + 2x * 0.75) + -0.5(x + -3) = 0.3(4x + -1) (-0.75 + 1.5x) + -0.5(x + -3) = 0.3(4x + -1) Reorder the terms: -0.75 + 1.5x + -0.5(-3 + x) = 0.3(4x + -1) -0.75 + 1.5x + (-3 * -0.5 + x * -0.5) = 0.3(4x + -1) -0.75 + 1.5x + (1.5 + -0.5x) = 0.3(4x + -1) Reorder the terms: -0.75 + 1.5 + 1.5x + -0.5x = 0.3(4x + -1) Combine like terms: -0.75 + 1.5 = 0.75 0.75 + 1.5x + -0.5x = 0.3(4x + -1) Combine like terms: 1.5x + -0.5x = 1x 0.75 + 1x = 0.3(4x + -1) Reorder the terms: 0.75 + 1x = 0.3(-1 + 4x) 0.75 + 1x = (-1 * 0.3 + 4x * 0.3) 0.75 + 1x = (-0.3 + 1.2x) Solving 0.75 + 1x = -0.3 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. 0.75 + 1x + -1.2x = -0.3 + 1.2x + -1.2x Combine like terms: 1x + -1.2x = -0.2x 0.75 + -0.2x = -0.3 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 0.75 + -0.2x = -0.3 + 0.0 0.75 + -0.2x = -0.3 Add '-0.75' to each side of the equation. 0.75 + -0.75 + -0.2x = -0.3 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -0.2x = -0.3 + -0.75 -0.2x = -0.3 + -0.75 Combine like terms: -0.3 + -0.75 = -1.05 -0.2x = -1.05 Divide each side by '-0.2'. x = 5.25 Simplifying x = 5.25
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