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Simplifying -4(3 + x) = -10(x + -4) + -14x (3 * -4 + x * -4) = -10(x + -4) + -14x (-12 + -4x) = -10(x + -4) + -14x Reorder the terms: -12 + -4x = -10(-4 + x) + -14x -12 + -4x = (-4 * -10 + x * -10) + -14x -12 + -4x = (40 + -10x) + -14x Combine like terms: -10x + -14x = -24x -12 + -4x = 40 + -24x Solving -12 + -4x = 40 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -12 + -4x + 24x = 40 + -24x + 24x Combine like terms: -4x + 24x = 20x -12 + 20x = 40 + -24x + 24x Combine like terms: -24x + 24x = 0 -12 + 20x = 40 + 0 -12 + 20x = 40 Add '12' to each side of the equation. -12 + 12 + 20x = 40 + 12 Combine like terms: -12 + 12 = 0 0 + 20x = 40 + 12 20x = 40 + 12 Combine like terms: 40 + 12 = 52 20x = 52 Divide each side by '20'. x = 2.6 Simplifying x = 2.6
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