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Simplifying 2(x + -6) + 2 = 19 + 3(4x + 7) Reorder the terms: 2(-6 + x) + 2 = 19 + 3(4x + 7) (-6 * 2 + x * 2) + 2 = 19 + 3(4x + 7) (-12 + 2x) + 2 = 19 + 3(4x + 7) Reorder the terms: -12 + 2 + 2x = 19 + 3(4x + 7) Combine like terms: -12 + 2 = -10 -10 + 2x = 19 + 3(4x + 7) Reorder the terms: -10 + 2x = 19 + 3(7 + 4x) -10 + 2x = 19 + (7 * 3 + 4x * 3) -10 + 2x = 19 + (21 + 12x) Combine like terms: 19 + 21 = 40 -10 + 2x = 40 + 12x Solving -10 + 2x = 40 + 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 = 40 + 12x + -12x Combine like terms: 2x + -12x = -10x -10 + -10x = 40 + 12x + -12x Combine like terms: 12x + -12x = 0 -10 + -10x = 40 + 0 -10 + -10x = 40 Add '10' to each side of the equation. -10 + 10 + -10x = 40 + 10 Combine like terms: -10 + 10 = 0 0 + -10x = 40 + 10 -10x = 40 + 10 Combine like terms: 40 + 10 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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