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Simplifying 2(x + -7) + 4 = 4(3x + 5) Reorder the terms: 2(-7 + x) + 4 = 4(3x + 5) (-7 * 2 + x * 2) + 4 = 4(3x + 5) (-14 + 2x) + 4 = 4(3x + 5) Reorder the terms: -14 + 4 + 2x = 4(3x + 5) Combine like terms: -14 + 4 = -10 -10 + 2x = 4(3x + 5) Reorder the terms: -10 + 2x = 4(5 + 3x) -10 + 2x = (5 * 4 + 3x * 4) -10 + 2x = (20 + 12x) Solving -10 + 2x = 20 + 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. -10 + 2x + -12x = 20 + 12x + -12x Combine like terms: 2x + -12x = -10x -10 + -10x = 20 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -10x = 20 + 0 -10 + -10x = 20 Add '10' to each side of the equation. -10 + 10 + -10x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -10x = 20 + 10 -10x = 20 + 10 Combine like terms: 20 + 10 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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