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Simplifying -4x + 5(x + 3) + 6 = -5(x + 3) Reorder the terms: -4x + 5(3 + x) + 6 = -5(x + 3) -4x + (3 * 5 + x * 5) + 6 = -5(x + 3) -4x + (15 + 5x) + 6 = -5(x + 3) Reorder the terms: 15 + 6 + -4x + 5x = -5(x + 3) Combine like terms: 15 + 6 = 21 21 + -4x + 5x = -5(x + 3) Combine like terms: -4x + 5x = 1x 21 + 1x = -5(x + 3) Reorder the terms: 21 + 1x = -5(3 + x) 21 + 1x = (3 * -5 + x * -5) 21 + 1x = (-15 + -5x) Solving 21 + 1x = -15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 21 + 1x + 5x = -15 + -5x + 5x Combine like terms: 1x + 5x = 6x 21 + 6x = -15 + -5x + 5x Combine like terms: -5x + 5x = 0 21 + 6x = -15 + 0 21 + 6x = -15 Add '-21' to each side of the equation. 21 + -21 + 6x = -15 + -21 Combine like terms: 21 + -21 = 0 0 + 6x = -15 + -21 6x = -15 + -21 Combine like terms: -15 + -21 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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