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Simplifying -3 + 3(-6x + -3) + 15x = 6(x + -8) Reorder the terms: -3 + 3(-3 + -6x) + 15x = 6(x + -8) -3 + (-3 * 3 + -6x * 3) + 15x = 6(x + -8) -3 + (-9 + -18x) + 15x = 6(x + -8) Combine like terms: -3 + -9 = -12 -12 + -18x + 15x = 6(x + -8) Combine like terms: -18x + 15x = -3x -12 + -3x = 6(x + -8) Reorder the terms: -12 + -3x = 6(-8 + x) -12 + -3x = (-8 * 6 + x * 6) -12 + -3x = (-48 + 6x) Solving -12 + -3x = -48 + 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. -12 + -3x + -6x = -48 + 6x + -6x Combine like terms: -3x + -6x = -9x -12 + -9x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -9x = -48 + 0 -12 + -9x = -48 Add '12' to each side of the equation. -12 + 12 + -9x = -48 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = -48 + 12 -9x = -48 + 12 Combine like terms: -48 + 12 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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