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Simplifying 4(3x + -6) + -5 = 4(x + -4) + 11 Reorder the terms: 4(-6 + 3x) + -5 = 4(x + -4) + 11 (-6 * 4 + 3x * 4) + -5 = 4(x + -4) + 11 (-24 + 12x) + -5 = 4(x + -4) + 11 Reorder the terms: -24 + -5 + 12x = 4(x + -4) + 11 Combine like terms: -24 + -5 = -29 -29 + 12x = 4(x + -4) + 11 Reorder the terms: -29 + 12x = 4(-4 + x) + 11 -29 + 12x = (-4 * 4 + x * 4) + 11 -29 + 12x = (-16 + 4x) + 11 Reorder the terms: -29 + 12x = -16 + 11 + 4x Combine like terms: -16 + 11 = -5 -29 + 12x = -5 + 4x Solving -29 + 12x = -5 + 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 = -5 + 4x + -4x Combine like terms: 12x + -4x = 8x -29 + 8x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 -29 + 8x = -5 + 0 -29 + 8x = -5 Add '29' to each side of the equation. -29 + 29 + 8x = -5 + 29 Combine like terms: -29 + 29 = 0 0 + 8x = -5 + 29 8x = -5 + 29 Combine like terms: -5 + 29 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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