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Simplifying 5(x + -2) + 3 = 2x + -4 Reorder the terms: 5(-2 + x) + 3 = 2x + -4 (-2 * 5 + x * 5) + 3 = 2x + -4 (-10 + 5x) + 3 = 2x + -4 Reorder the terms: -10 + 3 + 5x = 2x + -4 Combine like terms: -10 + 3 = -7 -7 + 5x = 2x + -4 Reorder the terms: -7 + 5x = -4 + 2x Solving -7 + 5x = -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. -7 + 5x + -2x = -4 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x = -4 + 0 -7 + 3x = -4 Add '7' to each side of the equation. -7 + 7 + 3x = -4 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = -4 + 7 3x = -4 + 7 Combine like terms: -4 + 7 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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