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Simplifying 6(x + -8) + -9 = 21x + -207 Reorder the terms: 6(-8 + x) + -9 = 21x + -207 (-8 * 6 + x * 6) + -9 = 21x + -207 (-48 + 6x) + -9 = 21x + -207 Reorder the terms: -48 + -9 + 6x = 21x + -207 Combine like terms: -48 + -9 = -57 -57 + 6x = 21x + -207 Reorder the terms: -57 + 6x = -207 + 21x Solving -57 + 6x = -207 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -57 + 6x + -21x = -207 + 21x + -21x Combine like terms: 6x + -21x = -15x -57 + -15x = -207 + 21x + -21x Combine like terms: 21x + -21x = 0 -57 + -15x = -207 + 0 -57 + -15x = -207 Add '57' to each side of the equation. -57 + 57 + -15x = -207 + 57 Combine like terms: -57 + 57 = 0 0 + -15x = -207 + 57 -15x = -207 + 57 Combine like terms: -207 + 57 = -150 -15x = -150 Divide each side by '-15'. x = 10 Simplifying x = 10
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