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Simplifying 4(x + -3.1) = 2.1(x + -4) + 3.5x Reorder the terms: 4(-3.1 + x) = 2.1(x + -4) + 3.5x (-3.1 * 4 + x * 4) = 2.1(x + -4) + 3.5x (-12.4 + 4x) = 2.1(x + -4) + 3.5x Reorder the terms: -12.4 + 4x = 2.1(-4 + x) + 3.5x -12.4 + 4x = (-4 * 2.1 + x * 2.1) + 3.5x -12.4 + 4x = (-8.4 + 2.1x) + 3.5x Combine like terms: 2.1x + 3.5x = 5.6x -12.4 + 4x = -8.4 + 5.6x Solving -12.4 + 4x = -8.4 + 5.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.6x' to each side of the equation. -12.4 + 4x + -5.6x = -8.4 + 5.6x + -5.6x Combine like terms: 4x + -5.6x = -1.6x -12.4 + -1.6x = -8.4 + 5.6x + -5.6x Combine like terms: 5.6x + -5.6x = 0.0 -12.4 + -1.6x = -8.4 + 0.0 -12.4 + -1.6x = -8.4 Add '12.4' to each side of the equation. -12.4 + 12.4 + -1.6x = -8.4 + 12.4 Combine like terms: -12.4 + 12.4 = 0.0 0.0 + -1.6x = -8.4 + 12.4 -1.6x = -8.4 + 12.4 Combine like terms: -8.4 + 12.4 = 4 -1.6x = 4 Divide each side by '-1.6'. x = -2.5 Simplifying x = -2.5
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