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Simplifying 6(x + -8) + 21 = 3(x + -4) Reorder the terms: 6(-8 + x) + 21 = 3(x + -4) (-8 * 6 + x * 6) + 21 = 3(x + -4) (-48 + 6x) + 21 = 3(x + -4) Reorder the terms: -48 + 21 + 6x = 3(x + -4) Combine like terms: -48 + 21 = -27 -27 + 6x = 3(x + -4) Reorder the terms: -27 + 6x = 3(-4 + x) -27 + 6x = (-4 * 3 + x * 3) -27 + 6x = (-12 + 3x) Solving -27 + 6x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -27 + 6x + -3x = -12 + 3x + -3x Combine like terms: 6x + -3x = 3x -27 + 3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + 3x = -12 + 0 -27 + 3x = -12 Add '27' to each side of the equation. -27 + 27 + 3x = -12 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = -12 + 27 3x = -12 + 27 Combine like terms: -12 + 27 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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