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Simplifying 4(3x + -8) + -5 = 4(x + -2) + 27 Reorder the terms: 4(-8 + 3x) + -5 = 4(x + -2) + 27 (-8 * 4 + 3x * 4) + -5 = 4(x + -2) + 27 (-32 + 12x) + -5 = 4(x + -2) + 27 Reorder the terms: -32 + -5 + 12x = 4(x + -2) + 27 Combine like terms: -32 + -5 = -37 -37 + 12x = 4(x + -2) + 27 Reorder the terms: -37 + 12x = 4(-2 + x) + 27 -37 + 12x = (-2 * 4 + x * 4) + 27 -37 + 12x = (-8 + 4x) + 27 Reorder the terms: -37 + 12x = -8 + 27 + 4x Combine like terms: -8 + 27 = 19 -37 + 12x = 19 + 4x Solving -37 + 12x = 19 + 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. -37 + 12x + -4x = 19 + 4x + -4x Combine like terms: 12x + -4x = 8x -37 + 8x = 19 + 4x + -4x Combine like terms: 4x + -4x = 0 -37 + 8x = 19 + 0 -37 + 8x = 19 Add '37' to each side of the equation. -37 + 37 + 8x = 19 + 37 Combine like terms: -37 + 37 = 0 0 + 8x = 19 + 37 8x = 19 + 37 Combine like terms: 19 + 37 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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