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Simplifying 4(4x + -7) + -4 = 4(x + -3) + 64 Reorder the terms: 4(-7 + 4x) + -4 = 4(x + -3) + 64 (-7 * 4 + 4x * 4) + -4 = 4(x + -3) + 64 (-28 + 16x) + -4 = 4(x + -3) + 64 Reorder the terms: -28 + -4 + 16x = 4(x + -3) + 64 Combine like terms: -28 + -4 = -32 -32 + 16x = 4(x + -3) + 64 Reorder the terms: -32 + 16x = 4(-3 + x) + 64 -32 + 16x = (-3 * 4 + x * 4) + 64 -32 + 16x = (-12 + 4x) + 64 Reorder the terms: -32 + 16x = -12 + 64 + 4x Combine like terms: -12 + 64 = 52 -32 + 16x = 52 + 4x Solving -32 + 16x = 52 + 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. -32 + 16x + -4x = 52 + 4x + -4x Combine like terms: 16x + -4x = 12x -32 + 12x = 52 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + 12x = 52 + 0 -32 + 12x = 52 Add '32' to each side of the equation. -32 + 32 + 12x = 52 + 32 Combine like terms: -32 + 32 = 0 0 + 12x = 52 + 32 12x = 52 + 32 Combine like terms: 52 + 32 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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