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Simplifying 3(x + -4) + -5 = 2(6 + -1x) + -6 Reorder the terms: 3(-4 + x) + -5 = 2(6 + -1x) + -6 (-4 * 3 + x * 3) + -5 = 2(6 + -1x) + -6 (-12 + 3x) + -5 = 2(6 + -1x) + -6 Reorder the terms: -12 + -5 + 3x = 2(6 + -1x) + -6 Combine like terms: -12 + -5 = -17 -17 + 3x = 2(6 + -1x) + -6 -17 + 3x = (6 * 2 + -1x * 2) + -6 -17 + 3x = (12 + -2x) + -6 Reorder the terms: -17 + 3x = 12 + -6 + -2x Combine like terms: 12 + -6 = 6 -17 + 3x = 6 + -2x Solving -17 + 3x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -17 + 3x + 2x = 6 + -2x + 2x Combine like terms: 3x + 2x = 5x -17 + 5x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -17 + 5x = 6 + 0 -17 + 5x = 6 Add '17' to each side of the equation. -17 + 17 + 5x = 6 + 17 Combine like terms: -17 + 17 = 0 0 + 5x = 6 + 17 5x = 6 + 17 Combine like terms: 6 + 17 = 23 5x = 23 Divide each side by '5'. x = 4.6 Simplifying x = 4.6
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