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Simplifying 4(4x + -3) = -2(8x + 6) Reorder the terms: 4(-3 + 4x) = -2(8x + 6) (-3 * 4 + 4x * 4) = -2(8x + 6) (-12 + 16x) = -2(8x + 6) Reorder the terms: -12 + 16x = -2(6 + 8x) -12 + 16x = (6 * -2 + 8x * -2) -12 + 16x = (-12 + -16x) Add '12' to each side of the equation. -12 + 12 + 16x = -12 + 12 + -16x Combine like terms: -12 + 12 = 0 0 + 16x = -12 + 12 + -16x 16x = -12 + 12 + -16x Combine like terms: -12 + 12 = 0 16x = 0 + -16x 16x = -16x Solving 16x = -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 16x + 16x = -16x + 16x Combine like terms: 16x + 16x = 32x 32x = -16x + 16x Combine like terms: -16x + 16x = 0 32x = 0 Divide each side by '32'. x = 0 Simplifying x = 0
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