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Simplifying 4(3x + -8) + -7 = 4(x + -4) + 33 Reorder the terms: 4(-8 + 3x) + -7 = 4(x + -4) + 33 (-8 * 4 + 3x * 4) + -7 = 4(x + -4) + 33 (-32 + 12x) + -7 = 4(x + -4) + 33 Reorder the terms: -32 + -7 + 12x = 4(x + -4) + 33 Combine like terms: -32 + -7 = -39 -39 + 12x = 4(x + -4) + 33 Reorder the terms: -39 + 12x = 4(-4 + x) + 33 -39 + 12x = (-4 * 4 + x * 4) + 33 -39 + 12x = (-16 + 4x) + 33 Reorder the terms: -39 + 12x = -16 + 33 + 4x Combine like terms: -16 + 33 = 17 -39 + 12x = 17 + 4x Solving -39 + 12x = 17 + 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. -39 + 12x + -4x = 17 + 4x + -4x Combine like terms: 12x + -4x = 8x -39 + 8x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 -39 + 8x = 17 + 0 -39 + 8x = 17 Add '39' to each side of the equation. -39 + 39 + 8x = 17 + 39 Combine like terms: -39 + 39 = 0 0 + 8x = 17 + 39 8x = 17 + 39 Combine like terms: 17 + 39 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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