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Simplifying 5(2x + -3) + -4x = 8x + -21 Reorder the terms: 5(-3 + 2x) + -4x = 8x + -21 (-3 * 5 + 2x * 5) + -4x = 8x + -21 (-15 + 10x) + -4x = 8x + -21 Combine like terms: 10x + -4x = 6x -15 + 6x = 8x + -21 Reorder the terms: -15 + 6x = -21 + 8x Solving -15 + 6x = -21 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 6x + -8x = -21 + 8x + -8x Combine like terms: 6x + -8x = -2x -15 + -2x = -21 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -2x = -21 + 0 -15 + -2x = -21 Add '15' to each side of the equation. -15 + 15 + -2x = -21 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -21 + 15 -2x = -21 + 15 Combine like terms: -21 + 15 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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