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Simplifying 3(2 + x) + 4 = 3x + -2(2x + -3) (2 * 3 + x * 3) + 4 = 3x + -2(2x + -3) (6 + 3x) + 4 = 3x + -2(2x + -3) Reorder the terms: 6 + 4 + 3x = 3x + -2(2x + -3) Combine like terms: 6 + 4 = 10 10 + 3x = 3x + -2(2x + -3) Reorder the terms: 10 + 3x = 3x + -2(-3 + 2x) 10 + 3x = 3x + (-3 * -2 + 2x * -2) 10 + 3x = 3x + (6 + -4x) Reorder the terms: 10 + 3x = 6 + 3x + -4x Combine like terms: 3x + -4x = -1x 10 + 3x = 6 + -1x Solving 10 + 3x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 3x + x = 6 + -1x + x Combine like terms: 3x + x = 4x 10 + 4x = 6 + -1x + x Combine like terms: -1x + x = 0 10 + 4x = 6 + 0 10 + 4x = 6 Add '-10' to each side of the equation. 10 + -10 + 4x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 6 + -10 4x = 6 + -10 Combine like terms: 6 + -10 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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