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Simplifying 3(1.4 + -1x) + 5x = -1(x + -4.8) (1.4 * 3 + -1x * 3) + 5x = -1(x + -4.8) (4.2 + -3x) + 5x = -1(x + -4.8) Combine like terms: -3x + 5x = 2x 4.2 + 2x = -1(x + -4.8) Reorder the terms: 4.2 + 2x = -1(-4.8 + x) 4.2 + 2x = (-4.8 * -1 + x * -1) 4.2 + 2x = (4.8 + -1x) Solving 4.2 + 2x = 4.8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4.2 + 2x + x = 4.8 + -1x + x Combine like terms: 2x + x = 3x 4.2 + 3x = 4.8 + -1x + x Combine like terms: -1x + x = 0 4.2 + 3x = 4.8 + 0 4.2 + 3x = 4.8 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 3x = 4.8 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 3x = 4.8 + -4.2 3x = 4.8 + -4.2 Combine like terms: 4.8 + -4.2 = 0.6 3x = 0.6 Divide each side by '3'. x = 0.2 Simplifying x = 0.2
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