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Simplifying 4(-3x + 4) + 8(2 + 6x) = (36 + 37x) Reorder the terms: 4(4 + -3x) + 8(2 + 6x) = (36 + 37x) (4 * 4 + -3x * 4) + 8(2 + 6x) = (36 + 37x) (16 + -12x) + 8(2 + 6x) = (36 + 37x) 16 + -12x + (2 * 8 + 6x * 8) = (36 + 37x) 16 + -12x + (16 + 48x) = (36 + 37x) Reorder the terms: 16 + 16 + -12x + 48x = (36 + 37x) Combine like terms: 16 + 16 = 32 32 + -12x + 48x = (36 + 37x) Combine like terms: -12x + 48x = 36x 32 + 36x = (36 + 37x) Remove parenthesis around (36 + 37x) 32 + 36x = 36 + 37x Solving 32 + 36x = 36 + 37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37x' to each side of the equation. 32 + 36x + -37x = 36 + 37x + -37x Combine like terms: 36x + -37x = -1x 32 + -1x = 36 + 37x + -37x Combine like terms: 37x + -37x = 0 32 + -1x = 36 + 0 32 + -1x = 36 Add '-32' to each side of the equation. 32 + -32 + -1x = 36 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = 36 + -32 -1x = 36 + -32 Combine like terms: 36 + -32 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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