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Simplifying 3x + -5(x + -2) = -4 + 2x + -18 Reorder the terms: 3x + -5(-2 + x) = -4 + 2x + -18 3x + (-2 * -5 + x * -5) = -4 + 2x + -18 3x + (10 + -5x) = -4 + 2x + -18 Reorder the terms: 10 + 3x + -5x = -4 + 2x + -18 Combine like terms: 3x + -5x = -2x 10 + -2x = -4 + 2x + -18 Reorder the terms: 10 + -2x = -4 + -18 + 2x Combine like terms: -4 + -18 = -22 10 + -2x = -22 + 2x Solving 10 + -2x = -22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + -2x + -2x = -22 + 2x + -2x Combine like terms: -2x + -2x = -4x 10 + -4x = -22 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -4x = -22 + 0 10 + -4x = -22 Add '-10' to each side of the equation. 10 + -10 + -4x = -22 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -22 + -10 -4x = -22 + -10 Combine like terms: -22 + -10 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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