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Simplifying 4(3x + 1) = 10(x + -4) + -14x Reorder the terms: 4(1 + 3x) = 10(x + -4) + -14x (1 * 4 + 3x * 4) = 10(x + -4) + -14x (4 + 12x) = 10(x + -4) + -14x Reorder the terms: 4 + 12x = 10(-4 + x) + -14x 4 + 12x = (-4 * 10 + x * 10) + -14x 4 + 12x = (-40 + 10x) + -14x Combine like terms: 10x + -14x = -4x 4 + 12x = -40 + -4x Solving 4 + 12x = -40 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4 + 12x + 4x = -40 + -4x + 4x Combine like terms: 12x + 4x = 16x 4 + 16x = -40 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 16x = -40 + 0 4 + 16x = -40 Add '-4' to each side of the equation. 4 + -4 + 16x = -40 + -4 Combine like terms: 4 + -4 = 0 0 + 16x = -40 + -4 16x = -40 + -4 Combine like terms: -40 + -4 = -44 16x = -44 Divide each side by '16'. x = -2.75 Simplifying x = -2.75
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