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Simplifying 4(3x + -7) = -2(2x + -6) Reorder the terms: 4(-7 + 3x) = -2(2x + -6) (-7 * 4 + 3x * 4) = -2(2x + -6) (-28 + 12x) = -2(2x + -6) Reorder the terms: -28 + 12x = -2(-6 + 2x) -28 + 12x = (-6 * -2 + 2x * -2) -28 + 12x = (12 + -4x) Solving -28 + 12x = 12 + -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. -28 + 12x + 4x = 12 + -4x + 4x Combine like terms: 12x + 4x = 16x -28 + 16x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -28 + 16x = 12 + 0 -28 + 16x = 12 Add '28' to each side of the equation. -28 + 28 + 16x = 12 + 28 Combine like terms: -28 + 28 = 0 0 + 16x = 12 + 28 16x = 12 + 28 Combine like terms: 12 + 28 = 40 16x = 40 Divide each side by '16'. x = 2.5 Simplifying x = 2.5
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