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Simplifying 3x + -5 + -2 = 2(4x + -6) + 27 Reorder the terms: -5 + -2 + 3x = 2(4x + -6) + 27 Combine like terms: -5 + -2 = -7 -7 + 3x = 2(4x + -6) + 27 Reorder the terms: -7 + 3x = 2(-6 + 4x) + 27 -7 + 3x = (-6 * 2 + 4x * 2) + 27 -7 + 3x = (-12 + 8x) + 27 Reorder the terms: -7 + 3x = -12 + 27 + 8x Combine like terms: -12 + 27 = 15 -7 + 3x = 15 + 8x Solving -7 + 3x = 15 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 3x + -8x = 15 + 8x + -8x Combine like terms: 3x + -8x = -5x -7 + -5x = 15 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -5x = 15 + 0 -7 + -5x = 15 Add '7' to each side of the equation. -7 + 7 + -5x = 15 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 15 + 7 -5x = 15 + 7 Combine like terms: 15 + 7 = 22 -5x = 22 Divide each side by '-5'. x = -4.4 Simplifying x = -4.4
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