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Simplifying 5(x + -3) + -2(2x + 4) = 2(x + -2) Reorder the terms: 5(-3 + x) + -2(2x + 4) = 2(x + -2) (-3 * 5 + x * 5) + -2(2x + 4) = 2(x + -2) (-15 + 5x) + -2(2x + 4) = 2(x + -2) Reorder the terms: -15 + 5x + -2(4 + 2x) = 2(x + -2) -15 + 5x + (4 * -2 + 2x * -2) = 2(x + -2) -15 + 5x + (-8 + -4x) = 2(x + -2) Reorder the terms: -15 + -8 + 5x + -4x = 2(x + -2) Combine like terms: -15 + -8 = -23 -23 + 5x + -4x = 2(x + -2) Combine like terms: 5x + -4x = 1x -23 + 1x = 2(x + -2) Reorder the terms: -23 + 1x = 2(-2 + x) -23 + 1x = (-2 * 2 + x * 2) -23 + 1x = (-4 + 2x) Solving -23 + 1x = -4 + 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. -23 + 1x + -2x = -4 + 2x + -2x Combine like terms: 1x + -2x = -1x -23 + -1x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -23 + -1x = -4 + 0 -23 + -1x = -4 Add '23' to each side of the equation. -23 + 23 + -1x = -4 + 23 Combine like terms: -23 + 23 = 0 0 + -1x = -4 + 23 -1x = -4 + 23 Combine like terms: -4 + 23 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19
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