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Simplifying 1(3x + -4) = 5(x + -6) + 1 Reorder the terms: 1(-4 + 3x) = 5(x + -6) + 1 (-4 * 1 + 3x * 1) = 5(x + -6) + 1 (-4 + 3x) = 5(x + -6) + 1 Reorder the terms: -4 + 3x = 5(-6 + x) + 1 -4 + 3x = (-6 * 5 + x * 5) + 1 -4 + 3x = (-30 + 5x) + 1 Reorder the terms: -4 + 3x = -30 + 1 + 5x Combine like terms: -30 + 1 = -29 -4 + 3x = -29 + 5x Solving -4 + 3x = -29 + 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. -4 + 3x + -5x = -29 + 5x + -5x Combine like terms: 3x + -5x = -2x -4 + -2x = -29 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -2x = -29 + 0 -4 + -2x = -29 Add '4' to each side of the equation. -4 + 4 + -2x = -29 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -29 + 4 -2x = -29 + 4 Combine like terms: -29 + 4 = -25 -2x = -25 Divide each side by '-2'. x = 12.5 Simplifying x = 12.5
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