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Simplifying 4(3x + -6) + -5 = 4(x + -5) + 7 Reorder the terms: 4(-6 + 3x) + -5 = 4(x + -5) + 7 (-6 * 4 + 3x * 4) + -5 = 4(x + -5) + 7 (-24 + 12x) + -5 = 4(x + -5) + 7 Reorder the terms: -24 + -5 + 12x = 4(x + -5) + 7 Combine like terms: -24 + -5 = -29 -29 + 12x = 4(x + -5) + 7 Reorder the terms: -29 + 12x = 4(-5 + x) + 7 -29 + 12x = (-5 * 4 + x * 4) + 7 -29 + 12x = (-20 + 4x) + 7 Reorder the terms: -29 + 12x = -20 + 7 + 4x Combine like terms: -20 + 7 = -13 -29 + 12x = -13 + 4x Solving -29 + 12x = -13 + 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. -29 + 12x + -4x = -13 + 4x + -4x Combine like terms: 12x + -4x = 8x -29 + 8x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 -29 + 8x = -13 + 0 -29 + 8x = -13 Add '29' to each side of the equation. -29 + 29 + 8x = -13 + 29 Combine like terms: -29 + 29 = 0 0 + 8x = -13 + 29 8x = -13 + 29 Combine like terms: -13 + 29 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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