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Simplifying 3(x + -4) + -5 = x + -3 Reorder the terms: 3(-4 + x) + -5 = x + -3 (-4 * 3 + x * 3) + -5 = x + -3 (-12 + 3x) + -5 = x + -3 Reorder the terms: -12 + -5 + 3x = x + -3 Combine like terms: -12 + -5 = -17 -17 + 3x = x + -3 Reorder the terms: -17 + 3x = -3 + x Solving -17 + 3x = -3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -17 + 3x + -1x = -3 + x + -1x Combine like terms: 3x + -1x = 2x -17 + 2x = -3 + x + -1x Combine like terms: x + -1x = 0 -17 + 2x = -3 + 0 -17 + 2x = -3 Add '17' to each side of the equation. -17 + 17 + 2x = -3 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = -3 + 17 2x = -3 + 17 Combine like terms: -3 + 17 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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