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Simplifying 4 + 2(6x + -7) = 3 + -5(2x + -4) Reorder the terms: 4 + 2(-7 + 6x) = 3 + -5(2x + -4) 4 + (-7 * 2 + 6x * 2) = 3 + -5(2x + -4) 4 + (-14 + 12x) = 3 + -5(2x + -4) Combine like terms: 4 + -14 = -10 -10 + 12x = 3 + -5(2x + -4) Reorder the terms: -10 + 12x = 3 + -5(-4 + 2x) -10 + 12x = 3 + (-4 * -5 + 2x * -5) -10 + 12x = 3 + (20 + -10x) Combine like terms: 3 + 20 = 23 -10 + 12x = 23 + -10x Solving -10 + 12x = 23 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -10 + 12x + 10x = 23 + -10x + 10x Combine like terms: 12x + 10x = 22x -10 + 22x = 23 + -10x + 10x Combine like terms: -10x + 10x = 0 -10 + 22x = 23 + 0 -10 + 22x = 23 Add '10' to each side of the equation. -10 + 10 + 22x = 23 + 10 Combine like terms: -10 + 10 = 0 0 + 22x = 23 + 10 22x = 23 + 10 Combine like terms: 23 + 10 = 33 22x = 33 Divide each side by '22'. x = 1.5 Simplifying x = 1.5
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