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Simplifying 4(3x + -2) + 6 = -7(3 + -2x) + 5 Reorder the terms: 4(-2 + 3x) + 6 = -7(3 + -2x) + 5 (-2 * 4 + 3x * 4) + 6 = -7(3 + -2x) + 5 (-8 + 12x) + 6 = -7(3 + -2x) + 5 Reorder the terms: -8 + 6 + 12x = -7(3 + -2x) + 5 Combine like terms: -8 + 6 = -2 -2 + 12x = -7(3 + -2x) + 5 -2 + 12x = (3 * -7 + -2x * -7) + 5 -2 + 12x = (-21 + 14x) + 5 Reorder the terms: -2 + 12x = -21 + 5 + 14x Combine like terms: -21 + 5 = -16 -2 + 12x = -16 + 14x Solving -2 + 12x = -16 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -2 + 12x + -14x = -16 + 14x + -14x Combine like terms: 12x + -14x = -2x -2 + -2x = -16 + 14x + -14x Combine like terms: 14x + -14x = 0 -2 + -2x = -16 + 0 -2 + -2x = -16 Add '2' to each side of the equation. -2 + 2 + -2x = -16 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = -16 + 2 -2x = -16 + 2 Combine like terms: -16 + 2 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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