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Simplifying 5(x + -3) + 6 = -4(-2x + 6) Reorder the terms: 5(-3 + x) + 6 = -4(-2x + 6) (-3 * 5 + x * 5) + 6 = -4(-2x + 6) (-15 + 5x) + 6 = -4(-2x + 6) Reorder the terms: -15 + 6 + 5x = -4(-2x + 6) Combine like terms: -15 + 6 = -9 -9 + 5x = -4(-2x + 6) Reorder the terms: -9 + 5x = -4(6 + -2x) -9 + 5x = (6 * -4 + -2x * -4) -9 + 5x = (-24 + 8x) Solving -9 + 5x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -9 + 5x + -8x = -24 + 8x + -8x Combine like terms: 5x + -8x = -3x -9 + -3x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -9 + -3x = -24 + 0 -9 + -3x = -24 Add '9' to each side of the equation. -9 + 9 + -3x = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -24 + 9 -3x = -24 + 9 Combine like terms: -24 + 9 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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