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Simplifying 2(7x + -2) = 6(4x + -8) Reorder the terms: 2(-2 + 7x) = 6(4x + -8) (-2 * 2 + 7x * 2) = 6(4x + -8) (-4 + 14x) = 6(4x + -8) Reorder the terms: -4 + 14x = 6(-8 + 4x) -4 + 14x = (-8 * 6 + 4x * 6) -4 + 14x = (-48 + 24x) Solving -4 + 14x = -48 + 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. -4 + 14x + -24x = -48 + 24x + -24x Combine like terms: 14x + -24x = -10x -4 + -10x = -48 + 24x + -24x Combine like terms: 24x + -24x = 0 -4 + -10x = -48 + 0 -4 + -10x = -48 Add '4' to each side of the equation. -4 + 4 + -10x = -48 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = -48 + 4 -10x = -48 + 4 Combine like terms: -48 + 4 = -44 -10x = -44 Divide each side by '-10'. x = 4.4 Simplifying x = 4.4
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