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Simplifying 3(1 + 2x) + 7 = -4(x + 2) (1 * 3 + 2x * 3) + 7 = -4(x + 2) (3 + 6x) + 7 = -4(x + 2) Reorder the terms: 3 + 7 + 6x = -4(x + 2) Combine like terms: 3 + 7 = 10 10 + 6x = -4(x + 2) Reorder the terms: 10 + 6x = -4(2 + x) 10 + 6x = (2 * -4 + x * -4) 10 + 6x = (-8 + -4x) Solving 10 + 6x = -8 + -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. 10 + 6x + 4x = -8 + -4x + 4x Combine like terms: 6x + 4x = 10x 10 + 10x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 10x = -8 + 0 10 + 10x = -8 Add '-10' to each side of the equation. 10 + -10 + 10x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 10x = -8 + -10 10x = -8 + -10 Combine like terms: -8 + -10 = -18 10x = -18 Divide each side by '10'. x = -1.8 Simplifying x = -1.8
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