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Simplifying 5(x + -3) + -1(x + -8) = 2x + 3 Reorder the terms: 5(-3 + x) + -1(x + -8) = 2x + 3 (-3 * 5 + x * 5) + -1(x + -8) = 2x + 3 (-15 + 5x) + -1(x + -8) = 2x + 3 Reorder the terms: -15 + 5x + -1(-8 + x) = 2x + 3 -15 + 5x + (-8 * -1 + x * -1) = 2x + 3 -15 + 5x + (8 + -1x) = 2x + 3 Reorder the terms: -15 + 8 + 5x + -1x = 2x + 3 Combine like terms: -15 + 8 = -7 -7 + 5x + -1x = 2x + 3 Combine like terms: 5x + -1x = 4x -7 + 4x = 2x + 3 Reorder the terms: -7 + 4x = 3 + 2x Solving -7 + 4x = 3 + 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 + 4x + -2x = 3 + 2x + -2x Combine like terms: 4x + -2x = 2x -7 + 2x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 2x = 3 + 0 -7 + 2x = 3 Add '7' to each side of the equation. -7 + 7 + 2x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 3 + 7 2x = 3 + 7 Combine like terms: 3 + 7 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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