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Simplifying 6(2x + -8) + -3 = 6(x + -4) + 15 Reorder the terms: 6(-8 + 2x) + -3 = 6(x + -4) + 15 (-8 * 6 + 2x * 6) + -3 = 6(x + -4) + 15 (-48 + 12x) + -3 = 6(x + -4) + 15 Reorder the terms: -48 + -3 + 12x = 6(x + -4) + 15 Combine like terms: -48 + -3 = -51 -51 + 12x = 6(x + -4) + 15 Reorder the terms: -51 + 12x = 6(-4 + x) + 15 -51 + 12x = (-4 * 6 + x * 6) + 15 -51 + 12x = (-24 + 6x) + 15 Reorder the terms: -51 + 12x = -24 + 15 + 6x Combine like terms: -24 + 15 = -9 -51 + 12x = -9 + 6x Solving -51 + 12x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -51 + 12x + -6x = -9 + 6x + -6x Combine like terms: 12x + -6x = 6x -51 + 6x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -51 + 6x = -9 + 0 -51 + 6x = -9 Add '51' to each side of the equation. -51 + 51 + 6x = -9 + 51 Combine like terms: -51 + 51 = 0 0 + 6x = -9 + 51 6x = -9 + 51 Combine like terms: -9 + 51 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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