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Simplifying 3 + -2(x + 1) + 5 = -4(x + -2) + 10 Reorder the terms: 3 + -2(1 + x) + 5 = -4(x + -2) + 10 3 + (1 * -2 + x * -2) + 5 = -4(x + -2) + 10 3 + (-2 + -2x) + 5 = -4(x + -2) + 10 Reorder the terms: 3 + -2 + 5 + -2x = -4(x + -2) + 10 Combine like terms: 3 + -2 = 1 1 + 5 + -2x = -4(x + -2) + 10 Combine like terms: 1 + 5 = 6 6 + -2x = -4(x + -2) + 10 Reorder the terms: 6 + -2x = -4(-2 + x) + 10 6 + -2x = (-2 * -4 + x * -4) + 10 6 + -2x = (8 + -4x) + 10 Reorder the terms: 6 + -2x = 8 + 10 + -4x Combine like terms: 8 + 10 = 18 6 + -2x = 18 + -4x Solving 6 + -2x = 18 + -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. 6 + -2x + 4x = 18 + -4x + 4x Combine like terms: -2x + 4x = 2x 6 + 2x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 6 + 2x = 18 + 0 6 + 2x = 18 Add '-6' to each side of the equation. 6 + -6 + 2x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 18 + -6 2x = 18 + -6 Combine like terms: 18 + -6 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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