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Simplifying [2(3x + -4) + -1(4x + -2)] + -4(x + 10) = 14x + -20 Reorder the terms: [2(-4 + 3x) + -1(4x + -2)] + -4(x + 10) = 14x + -20 [(-4 * 2 + 3x * 2) + -1(4x + -2)] + -4(x + 10) = 14x + -20 [(-8 + 6x) + -1(4x + -2)] + -4(x + 10) = 14x + -20 Reorder the terms: [-8 + 6x + -1(-2 + 4x)] + -4(x + 10) = 14x + -20 [-8 + 6x + (-2 * -1 + 4x * -1)] + -4(x + 10) = 14x + -20 [-8 + 6x + (2 + -4x)] + -4(x + 10) = 14x + -20 Reorder the terms: [-8 + 2 + 6x + -4x] + -4(x + 10) = 14x + -20 Combine like terms: -8 + 2 = -6 [-6 + 6x + -4x] + -4(x + 10) = 14x + -20 Combine like terms: 6x + -4x = 2x [-6 + 2x] + -4(x + 10) = 14x + -20 Remove brackets around [-6 + 2x] -6 + 2x + -4(x + 10) = 14x + -20 Reorder the terms: -6 + 2x + -4(10 + x) = 14x + -20 -6 + 2x + (10 * -4 + x * -4) = 14x + -20 -6 + 2x + (-40 + -4x) = 14x + -20 Reorder the terms: -6 + -40 + 2x + -4x = 14x + -20 Combine like terms: -6 + -40 = -46 -46 + 2x + -4x = 14x + -20 Combine like terms: 2x + -4x = -2x -46 + -2x = 14x + -20 Reorder the terms: -46 + -2x = -20 + 14x Solving -46 + -2x = -20 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -46 + -2x + -14x = -20 + 14x + -14x Combine like terms: -2x + -14x = -16x -46 + -16x = -20 + 14x + -14x Combine like terms: 14x + -14x = 0 -46 + -16x = -20 + 0 -46 + -16x = -20 Add '46' to each side of the equation. -46 + 46 + -16x = -20 + 46 Combine like terms: -46 + 46 = 0 0 + -16x = -20 + 46 -16x = -20 + 46 Combine like terms: -20 + 46 = 26 -16x = 26 Divide each side by '-16'. x = -1.625 Simplifying x = -1.625
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