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Simplifying 1.4x + 2(-4 + 5x) = 2(x + -5) + -4(0.1x + 8) 1.4x + (-4 * 2 + 5x * 2) = 2(x + -5) + -4(0.1x + 8) 1.4x + (-8 + 10x) = 2(x + -5) + -4(0.1x + 8) Reorder the terms: -8 + 1.4x + 10x = 2(x + -5) + -4(0.1x + 8) Combine like terms: 1.4x + 10x = 11.4x -8 + 11.4x = 2(x + -5) + -4(0.1x + 8) Reorder the terms: -8 + 11.4x = 2(-5 + x) + -4(0.1x + 8) -8 + 11.4x = (-5 * 2 + x * 2) + -4(0.1x + 8) -8 + 11.4x = (-10 + 2x) + -4(0.1x + 8) Reorder the terms: -8 + 11.4x = -10 + 2x + -4(8 + 0.1x) -8 + 11.4x = -10 + 2x + (8 * -4 + 0.1x * -4) -8 + 11.4x = -10 + 2x + (-32 + -0.4x) Reorder the terms: -8 + 11.4x = -10 + -32 + 2x + -0.4x Combine like terms: -10 + -32 = -42 -8 + 11.4x = -42 + 2x + -0.4x Combine like terms: 2x + -0.4x = 1.6x -8 + 11.4x = -42 + 1.6x Solving -8 + 11.4x = -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. -8 + 11.4x + -1.6x = -42 + 1.6x + -1.6x Combine like terms: 11.4x + -1.6x = 9.8x -8 + 9.8x = -42 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 -8 + 9.8x = -42 + 0.0 -8 + 9.8x = -42 Add '8' to each side of the equation. -8 + 8 + 9.8x = -42 + 8 Combine like terms: -8 + 8 = 0 0 + 9.8x = -42 + 8 9.8x = -42 + 8 Combine like terms: -42 + 8 = -34 9.8x = -34 Divide each side by '9.8'. x = -3.469387755 Simplifying x = -3.469387755
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