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Simplifying 5(x + -3) = 2(4x + 21) Reorder the terms: 5(-3 + x) = 2(4x + 21) (-3 * 5 + x * 5) = 2(4x + 21) (-15 + 5x) = 2(4x + 21) Reorder the terms: -15 + 5x = 2(21 + 4x) -15 + 5x = (21 * 2 + 4x * 2) -15 + 5x = (42 + 8x) Solving -15 + 5x = 42 + 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 + 5x + -8x = 42 + 8x + -8x Combine like terms: 5x + -8x = -3x -15 + -3x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -3x = 42 + 0 -15 + -3x = 42 Add '15' to each side of the equation. -15 + 15 + -3x = 42 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = 42 + 15 -3x = 42 + 15 Combine like terms: 42 + 15 = 57 -3x = 57 Divide each side by '-3'. x = -19 Simplifying x = -19
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