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Simplifying 4(3x + -5) + 6 = 7(x + -2) + 6x Reorder the terms: 4(-5 + 3x) + 6 = 7(x + -2) + 6x (-5 * 4 + 3x * 4) + 6 = 7(x + -2) + 6x (-20 + 12x) + 6 = 7(x + -2) + 6x Reorder the terms: -20 + 6 + 12x = 7(x + -2) + 6x Combine like terms: -20 + 6 = -14 -14 + 12x = 7(x + -2) + 6x Reorder the terms: -14 + 12x = 7(-2 + x) + 6x -14 + 12x = (-2 * 7 + x * 7) + 6x -14 + 12x = (-14 + 7x) + 6x Combine like terms: 7x + 6x = 13x -14 + 12x = -14 + 13x Add '14' to each side of the equation. -14 + 14 + 12x = -14 + 14 + 13x Combine like terms: -14 + 14 = 0 0 + 12x = -14 + 14 + 13x 12x = -14 + 14 + 13x Combine like terms: -14 + 14 = 0 12x = 0 + 13x 12x = 13x Solving 12x = 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 12x + -13x = 13x + -13x Combine like terms: 12x + -13x = -1x -1x = 13x + -13x Combine like terms: 13x + -13x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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