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Simplifying 4(3x + -5) + -2(7 + -3x) = 6(2x + -3) + -5(2x + -3x) Reorder the terms: 4(-5 + 3x) + -2(7 + -3x) = 6(2x + -3) + -5(2x + -3x) (-5 * 4 + 3x * 4) + -2(7 + -3x) = 6(2x + -3) + -5(2x + -3x) (-20 + 12x) + -2(7 + -3x) = 6(2x + -3) + -5(2x + -3x) -20 + 12x + (7 * -2 + -3x * -2) = 6(2x + -3) + -5(2x + -3x) -20 + 12x + (-14 + 6x) = 6(2x + -3) + -5(2x + -3x) Reorder the terms: -20 + -14 + 12x + 6x = 6(2x + -3) + -5(2x + -3x) Combine like terms: -20 + -14 = -34 -34 + 12x + 6x = 6(2x + -3) + -5(2x + -3x) Combine like terms: 12x + 6x = 18x -34 + 18x = 6(2x + -3) + -5(2x + -3x) Reorder the terms: -34 + 18x = 6(-3 + 2x) + -5(2x + -3x) -34 + 18x = (-3 * 6 + 2x * 6) + -5(2x + -3x) -34 + 18x = (-18 + 12x) + -5(2x + -3x) Combine like terms: 2x + -3x = -1x -34 + 18x = -18 + 12x + -5(-1x) Remove parenthesis around (-1x) -34 + 18x = -18 + 12x + -5 * -1x Multiply -5 * -1 -34 + 18x = -18 + 12x + 5x Combine like terms: 12x + 5x = 17x -34 + 18x = -18 + 17x Solving -34 + 18x = -18 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -34 + 18x + -17x = -18 + 17x + -17x Combine like terms: 18x + -17x = 1x -34 + 1x = -18 + 17x + -17x Combine like terms: 17x + -17x = 0 -34 + 1x = -18 + 0 -34 + 1x = -18 Add '34' to each side of the equation. -34 + 34 + 1x = -18 + 34 Combine like terms: -34 + 34 = 0 0 + 1x = -18 + 34 1x = -18 + 34 Combine like terms: -18 + 34 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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