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Simplifying 5x + 3 + -1(x + -3) = -2x + 24 Reorder the terms: 5x + 3 + -1(-3 + x) = -2x + 24 5x + 3 + (-3 * -1 + x * -1) = -2x + 24 5x + 3 + (3 + -1x) = -2x + 24 Reorder the terms: 3 + 3 + 5x + -1x = -2x + 24 Combine like terms: 3 + 3 = 6 6 + 5x + -1x = -2x + 24 Combine like terms: 5x + -1x = 4x 6 + 4x = -2x + 24 Reorder the terms: 6 + 4x = 24 + -2x Solving 6 + 4x = 24 + -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. 6 + 4x + 2x = 24 + -2x + 2x Combine like terms: 4x + 2x = 6x 6 + 6x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 6x = 24 + 0 6 + 6x = 24 Add '-6' to each side of the equation. 6 + -6 + 6x = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 24 + -6 6x = 24 + -6 Combine like terms: 24 + -6 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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