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Simplifying 3(2x + 6) + -10 = -4(x + 3) Reorder the terms: 3(6 + 2x) + -10 = -4(x + 3) (6 * 3 + 2x * 3) + -10 = -4(x + 3) (18 + 6x) + -10 = -4(x + 3) Reorder the terms: 18 + -10 + 6x = -4(x + 3) Combine like terms: 18 + -10 = 8 8 + 6x = -4(x + 3) Reorder the terms: 8 + 6x = -4(3 + x) 8 + 6x = (3 * -4 + x * -4) 8 + 6x = (-12 + -4x) Solving 8 + 6x = -12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 6x + 4x = -12 + -4x + 4x Combine like terms: 6x + 4x = 10x 8 + 10x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 10x = -12 + 0 8 + 10x = -12 Add '-8' to each side of the equation. 8 + -8 + 10x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 10x = -12 + -8 10x = -12 + -8 Combine like terms: -12 + -8 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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