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