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Simplifying 4(2x + -9) + -4 = 4(x + -3) + 4 Reorder the terms: 4(-9 + 2x) + -4 = 4(x + -3) + 4 (-9 * 4 + 2x * 4) + -4 = 4(x + -3) + 4 (-36 + 8x) + -4 = 4(x + -3) + 4 Reorder the terms: -36 + -4 + 8x = 4(x + -3) + 4 Combine like terms: -36 + -4 = -40 -40 + 8x = 4(x + -3) + 4 Reorder the terms: -40 + 8x = 4(-3 + x) + 4 -40 + 8x = (-3 * 4 + x * 4) + 4 -40 + 8x = (-12 + 4x) + 4 Reorder the terms: -40 + 8x = -12 + 4 + 4x Combine like terms: -12 + 4 = -8 -40 + 8x = -8 + 4x Solving -40 + 8x = -8 + 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. -40 + 8x + -4x = -8 + 4x + -4x Combine like terms: 8x + -4x = 4x -40 + 4x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -40 + 4x = -8 + 0 -40 + 4x = -8 Add '40' to each side of the equation. -40 + 40 + 4x = -8 + 40 Combine like terms: -40 + 40 = 0 0 + 4x = -8 + 40 4x = -8 + 40 Combine like terms: -8 + 40 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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