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Simplifying 4(2x + -6) + -5 = 4(x + -5) + 23 Reorder the terms: 4(-6 + 2x) + -5 = 4(x + -5) + 23 (-6 * 4 + 2x * 4) + -5 = 4(x + -5) + 23 (-24 + 8x) + -5 = 4(x + -5) + 23 Reorder the terms: -24 + -5 + 8x = 4(x + -5) + 23 Combine like terms: -24 + -5 = -29 -29 + 8x = 4(x + -5) + 23 Reorder the terms: -29 + 8x = 4(-5 + x) + 23 -29 + 8x = (-5 * 4 + x * 4) + 23 -29 + 8x = (-20 + 4x) + 23 Reorder the terms: -29 + 8x = -20 + 23 + 4x Combine like terms: -20 + 23 = 3 -29 + 8x = 3 + 4x Solving -29 + 8x = 3 + 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 + 8x + -4x = 3 + 4x + -4x Combine like terms: 8x + -4x = 4x -29 + 4x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -29 + 4x = 3 + 0 -29 + 4x = 3 Add '29' to each side of the equation. -29 + 29 + 4x = 3 + 29 Combine like terms: -29 + 29 = 0 0 + 4x = 3 + 29 4x = 3 + 29 Combine like terms: 3 + 29 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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