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Simplifying 1.4x + (-4.2 + -5x) = 2(x + -5) + -4(0.1x + 8) Remove parenthesis around (-4.2 + -5x) 1.4x + -4.2 + -5x = 2(x + -5) + -4(0.1x + 8) Reorder the terms: -4.2 + 1.4x + -5x = 2(x + -5) + -4(0.1x + 8) Combine like terms: 1.4x + -5x = -3.6x -4.2 + -3.6x = 2(x + -5) + -4(0.1x + 8) Reorder the terms: -4.2 + -3.6x = 2(-5 + x) + -4(0.1x + 8) -4.2 + -3.6x = (-5 * 2 + x * 2) + -4(0.1x + 8) -4.2 + -3.6x = (-10 + 2x) + -4(0.1x + 8) Reorder the terms: -4.2 + -3.6x = -10 + 2x + -4(8 + 0.1x) -4.2 + -3.6x = -10 + 2x + (8 * -4 + 0.1x * -4) -4.2 + -3.6x = -10 + 2x + (-32 + -0.4x) Reorder the terms: -4.2 + -3.6x = -10 + -32 + 2x + -0.4x Combine like terms: -10 + -32 = -42 -4.2 + -3.6x = -42 + 2x + -0.4x Combine like terms: 2x + -0.4x = 1.6x -4.2 + -3.6x = -42 + 1.6x Solving -4.2 + -3.6x = -42 + 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. -4.2 + -3.6x + -1.6x = -42 + 1.6x + -1.6x Combine like terms: -3.6x + -1.6x = -5.2x -4.2 + -5.2x = -42 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 -4.2 + -5.2x = -42 + 0.0 -4.2 + -5.2x = -42 Add '4.2' to each side of the equation. -4.2 + 4.2 + -5.2x = -42 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + -5.2x = -42 + 4.2 -5.2x = -42 + 4.2 Combine like terms: -42 + 4.2 = -37.8 -5.2x = -37.8 Divide each side by '-5.2'. x = 7.269230769 Simplifying x = 7.269230769
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