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Simplifying 4(2x + -3) + -4 = -2(x + -7) Reorder the terms: 4(-3 + 2x) + -4 = -2(x + -7) (-3 * 4 + 2x * 4) + -4 = -2(x + -7) (-12 + 8x) + -4 = -2(x + -7) Reorder the terms: -12 + -4 + 8x = -2(x + -7) Combine like terms: -12 + -4 = -16 -16 + 8x = -2(x + -7) Reorder the terms: -16 + 8x = -2(-7 + x) -16 + 8x = (-7 * -2 + x * -2) -16 + 8x = (14 + -2x) Solving -16 + 8x = 14 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -16 + 8x + 2x = 14 + -2x + 2x Combine like terms: 8x + 2x = 10x -16 + 10x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -16 + 10x = 14 + 0 -16 + 10x = 14 Add '16' to each side of the equation. -16 + 16 + 10x = 14 + 16 Combine like terms: -16 + 16 = 0 0 + 10x = 14 + 16 10x = 14 + 16 Combine like terms: 14 + 16 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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