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Simplifying 7(2x + -3) + -5x = 6(2x + 4) Reorder the terms: 7(-3 + 2x) + -5x = 6(2x + 4) (-3 * 7 + 2x * 7) + -5x = 6(2x + 4) (-21 + 14x) + -5x = 6(2x + 4) Combine like terms: 14x + -5x = 9x -21 + 9x = 6(2x + 4) Reorder the terms: -21 + 9x = 6(4 + 2x) -21 + 9x = (4 * 6 + 2x * 6) -21 + 9x = (24 + 12x) Solving -21 + 9x = 24 + 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. -21 + 9x + -12x = 24 + 12x + -12x Combine like terms: 9x + -12x = -3x -21 + -3x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 -21 + -3x = 24 + 0 -21 + -3x = 24 Add '21' to each side of the equation. -21 + 21 + -3x = 24 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = 24 + 21 -3x = 24 + 21 Combine like terms: 24 + 21 = 45 -3x = 45 Divide each side by '-3'. x = -15 Simplifying x = -15
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