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Simplifying 4(3x + -6) + -4 = 4(x + -3) + 40 Reorder the terms: 4(-6 + 3x) + -4 = 4(x + -3) + 40 (-6 * 4 + 3x * 4) + -4 = 4(x + -3) + 40 (-24 + 12x) + -4 = 4(x + -3) + 40 Reorder the terms: -24 + -4 + 12x = 4(x + -3) + 40 Combine like terms: -24 + -4 = -28 -28 + 12x = 4(x + -3) + 40 Reorder the terms: -28 + 12x = 4(-3 + x) + 40 -28 + 12x = (-3 * 4 + x * 4) + 40 -28 + 12x = (-12 + 4x) + 40 Reorder the terms: -28 + 12x = -12 + 40 + 4x Combine like terms: -12 + 40 = 28 -28 + 12x = 28 + 4x Solving -28 + 12x = 28 + 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. -28 + 12x + -4x = 28 + 4x + -4x Combine like terms: 12x + -4x = 8x -28 + 8x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + 8x = 28 + 0 -28 + 8x = 28 Add '28' to each side of the equation. -28 + 28 + 8x = 28 + 28 Combine like terms: -28 + 28 = 0 0 + 8x = 28 + 28 8x = 28 + 28 Combine like terms: 28 + 28 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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