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Simplifying 3(2x + -5) + 1 = 4(3x + 1) Reorder the terms: 3(-5 + 2x) + 1 = 4(3x + 1) (-5 * 3 + 2x * 3) + 1 = 4(3x + 1) (-15 + 6x) + 1 = 4(3x + 1) Reorder the terms: -15 + 1 + 6x = 4(3x + 1) Combine like terms: -15 + 1 = -14 -14 + 6x = 4(3x + 1) Reorder the terms: -14 + 6x = 4(1 + 3x) -14 + 6x = (1 * 4 + 3x * 4) -14 + 6x = (4 + 12x) Solving -14 + 6x = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -14 + 6x + -12x = 4 + 12x + -12x Combine like terms: 6x + -12x = -6x -14 + -6x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -6x = 4 + 0 -14 + -6x = 4 Add '14' to each side of the equation. -14 + 14 + -6x = 4 + 14 Combine like terms: -14 + 14 = 0 0 + -6x = 4 + 14 -6x = 4 + 14 Combine like terms: 4 + 14 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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