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Simplifying 4(4x + -8) + -7 = 4(x + -4) + 49 Reorder the terms: 4(-8 + 4x) + -7 = 4(x + -4) + 49 (-8 * 4 + 4x * 4) + -7 = 4(x + -4) + 49 (-32 + 16x) + -7 = 4(x + -4) + 49 Reorder the terms: -32 + -7 + 16x = 4(x + -4) + 49 Combine like terms: -32 + -7 = -39 -39 + 16x = 4(x + -4) + 49 Reorder the terms: -39 + 16x = 4(-4 + x) + 49 -39 + 16x = (-4 * 4 + x * 4) + 49 -39 + 16x = (-16 + 4x) + 49 Reorder the terms: -39 + 16x = -16 + 49 + 4x Combine like terms: -16 + 49 = 33 -39 + 16x = 33 + 4x Solving -39 + 16x = 33 + 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 + 16x + -4x = 33 + 4x + -4x Combine like terms: 16x + -4x = 12x -39 + 12x = 33 + 4x + -4x Combine like terms: 4x + -4x = 0 -39 + 12x = 33 + 0 -39 + 12x = 33 Add '39' to each side of the equation. -39 + 39 + 12x = 33 + 39 Combine like terms: -39 + 39 = 0 0 + 12x = 33 + 39 12x = 33 + 39 Combine like terms: 33 + 39 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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