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Simplifying 21x + -14 = 8(3x + -4) Reorder the terms: -14 + 21x = 8(3x + -4) Reorder the terms: -14 + 21x = 8(-4 + 3x) -14 + 21x = (-4 * 8 + 3x * 8) -14 + 21x = (-32 + 24x) Solving -14 + 21x = -32 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -14 + 21x + -24x = -32 + 24x + -24x Combine like terms: 21x + -24x = -3x -14 + -3x = -32 + 24x + -24x Combine like terms: 24x + -24x = 0 -14 + -3x = -32 + 0 -14 + -3x = -32 Add '14' to each side of the equation. -14 + 14 + -3x = -32 + 14 Combine like terms: -14 + 14 = 0 0 + -3x = -32 + 14 -3x = -32 + 14 Combine like terms: -32 + 14 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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