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Simplifying 4(3x + -7) + -10 = 2(x + 6) Reorder the terms: 4(-7 + 3x) + -10 = 2(x + 6) (-7 * 4 + 3x * 4) + -10 = 2(x + 6) (-28 + 12x) + -10 = 2(x + 6) Reorder the terms: -28 + -10 + 12x = 2(x + 6) Combine like terms: -28 + -10 = -38 -38 + 12x = 2(x + 6) Reorder the terms: -38 + 12x = 2(6 + x) -38 + 12x = (6 * 2 + x * 2) -38 + 12x = (12 + 2x) Solving -38 + 12x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -38 + 12x + -2x = 12 + 2x + -2x Combine like terms: 12x + -2x = 10x -38 + 10x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -38 + 10x = 12 + 0 -38 + 10x = 12 Add '38' to each side of the equation. -38 + 38 + 10x = 12 + 38 Combine like terms: -38 + 38 = 0 0 + 10x = 12 + 38 10x = 12 + 38 Combine like terms: 12 + 38 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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