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Simplifying 5(x + -3) = -2(2x + -10) + 1 Reorder the terms: 5(-3 + x) = -2(2x + -10) + 1 (-3 * 5 + x * 5) = -2(2x + -10) + 1 (-15 + 5x) = -2(2x + -10) + 1 Reorder the terms: -15 + 5x = -2(-10 + 2x) + 1 -15 + 5x = (-10 * -2 + 2x * -2) + 1 -15 + 5x = (20 + -4x) + 1 Reorder the terms: -15 + 5x = 20 + 1 + -4x Combine like terms: 20 + 1 = 21 -15 + 5x = 21 + -4x Solving -15 + 5x = 21 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -15 + 5x + 4x = 21 + -4x + 4x Combine like terms: 5x + 4x = 9x -15 + 9x = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 9x = 21 + 0 -15 + 9x = 21 Add '15' to each side of the equation. -15 + 15 + 9x = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 9x = 21 + 15 9x = 21 + 15 Combine like terms: 21 + 15 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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