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Simplifying 4(2x + -3) + -4 = 4(x + -2 + 12) Reorder the terms: 4(-3 + 2x) + -4 = 4(x + -2 + 12) (-3 * 4 + 2x * 4) + -4 = 4(x + -2 + 12) (-12 + 8x) + -4 = 4(x + -2 + 12) Reorder the terms: -12 + -4 + 8x = 4(x + -2 + 12) Combine like terms: -12 + -4 = -16 -16 + 8x = 4(x + -2 + 12) Reorder the terms: -16 + 8x = 4(-2 + 12 + x) Combine like terms: -2 + 12 = 10 -16 + 8x = 4(10 + x) -16 + 8x = (10 * 4 + x * 4) -16 + 8x = (40 + 4x) Solving -16 + 8x = 40 + 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. -16 + 8x + -4x = 40 + 4x + -4x Combine like terms: 8x + -4x = 4x -16 + 4x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 4x = 40 + 0 -16 + 4x = 40 Add '16' to each side of the equation. -16 + 16 + 4x = 40 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 40 + 16 4x = 40 + 16 Combine like terms: 40 + 16 = 56 4x = 56 Divide each side by '4'. x = 14 Simplifying x = 14
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