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Simplifying 4(2x + -3) + -4 = (x + -4) + 36 Reorder the terms: 4(-3 + 2x) + -4 = (x + -4) + 36 (-3 * 4 + 2x * 4) + -4 = (x + -4) + 36 (-12 + 8x) + -4 = (x + -4) + 36 Reorder the terms: -12 + -4 + 8x = (x + -4) + 36 Combine like terms: -12 + -4 = -16 -16 + 8x = (x + -4) + 36 Reorder the terms: -16 + 8x = (-4 + x) + 36 Remove parenthesis around (-4 + x) -16 + 8x = -4 + x + 36 Reorder the terms: -16 + 8x = -4 + 36 + x Combine like terms: -4 + 36 = 32 -16 + 8x = 32 + x Solving -16 + 8x = 32 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -16 + 8x + -1x = 32 + x + -1x Combine like terms: 8x + -1x = 7x -16 + 7x = 32 + x + -1x Combine like terms: x + -1x = 0 -16 + 7x = 32 + 0 -16 + 7x = 32 Add '16' to each side of the equation. -16 + 16 + 7x = 32 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = 32 + 16 7x = 32 + 16 Combine like terms: 32 + 16 = 48 7x = 48 Divide each side by '7'. x = 6.857142857 Simplifying x = 6.857142857
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