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Simplifying 4(3x + -7) + -4 = 4(x + -3) + 36 Reorder the terms: 4(-7 + 3x) + -4 = 4(x + -3) + 36 (-7 * 4 + 3x * 4) + -4 = 4(x + -3) + 36 (-28 + 12x) + -4 = 4(x + -3) + 36 Reorder the terms: -28 + -4 + 12x = 4(x + -3) + 36 Combine like terms: -28 + -4 = -32 -32 + 12x = 4(x + -3) + 36 Reorder the terms: -32 + 12x = 4(-3 + x) + 36 -32 + 12x = (-3 * 4 + x * 4) + 36 -32 + 12x = (-12 + 4x) + 36 Reorder the terms: -32 + 12x = -12 + 36 + 4x Combine like terms: -12 + 36 = 24 -32 + 12x = 24 + 4x Solving -32 + 12x = 24 + 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 + 12x + -4x = 24 + 4x + -4x Combine like terms: 12x + -4x = 8x -32 + 8x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + 8x = 24 + 0 -32 + 8x = 24 Add '32' to each side of the equation. -32 + 32 + 8x = 24 + 32 Combine like terms: -32 + 32 = 0 0 + 8x = 24 + 32 8x = 24 + 32 Combine like terms: 24 + 32 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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