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Simplifying 3(0.1x + -1.4) = -1(1.4 + 0.1x) Reorder the terms: 3(-1.4 + 0.1x) = -1(1.4 + 0.1x) (-1.4 * 3 + 0.1x * 3) = -1(1.4 + 0.1x) (-4.2 + 0.3x) = -1(1.4 + 0.1x) -4.2 + 0.3x = (1.4 * -1 + 0.1x * -1) -4.2 + 0.3x = (-1.4 + -0.1x) Solving -4.2 + 0.3x = -1.4 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. -4.2 + 0.3x + 0.1x = -1.4 + -0.1x + 0.1x Combine like terms: 0.3x + 0.1x = 0.4x -4.2 + 0.4x = -1.4 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -4.2 + 0.4x = -1.4 + 0.0 -4.2 + 0.4x = -1.4 Add '4.2' to each side of the equation. -4.2 + 4.2 + 0.4x = -1.4 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 0.4x = -1.4 + 4.2 0.4x = -1.4 + 4.2 Combine like terms: -1.4 + 4.2 = 2.8 0.4x = 2.8 Divide each side by '0.4'. x = 7 Simplifying x = 7
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