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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 = -8x 4 + -8x = -40 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + -8x = -40 + 0 4 + -8x = -40 Add '-4' to each side of the equation. 4 + -4 + -8x = -40 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = -40 + -4 -8x = -40 + -4 Combine like terms: -40 + -4 = -44 -8x = -44 Divide each side by '-8'. x = 5.5 Simplifying x = 5.5
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