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