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Simplifying x + 5(x + -2) = 2(x + -2) + -18 Reorder the terms: x + 5(-2 + x) = 2(x + -2) + -18 x + (-2 * 5 + x * 5) = 2(x + -2) + -18 x + (-10 + 5x) = 2(x + -2) + -18 Reorder the terms: -10 + x + 5x = 2(x + -2) + -18 Combine like terms: x + 5x = 6x -10 + 6x = 2(x + -2) + -18 Reorder the terms: -10 + 6x = 2(-2 + x) + -18 -10 + 6x = (-2 * 2 + x * 2) + -18 -10 + 6x = (-4 + 2x) + -18 Reorder the terms: -10 + 6x = -4 + -18 + 2x Combine like terms: -4 + -18 = -22 -10 + 6x = -22 + 2x Solving -10 + 6x = -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 + 6x + -2x = -22 + 2x + -2x Combine like terms: 6x + -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 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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