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Simplifying -3(x + -5) + 6 = 5(2x + 3) + -7 Reorder the terms: -3(-5 + x) + 6 = 5(2x + 3) + -7 (-5 * -3 + x * -3) + 6 = 5(2x + 3) + -7 (15 + -3x) + 6 = 5(2x + 3) + -7 Reorder the terms: 15 + 6 + -3x = 5(2x + 3) + -7 Combine like terms: 15 + 6 = 21 21 + -3x = 5(2x + 3) + -7 Reorder the terms: 21 + -3x = 5(3 + 2x) + -7 21 + -3x = (3 * 5 + 2x * 5) + -7 21 + -3x = (15 + 10x) + -7 Reorder the terms: 21 + -3x = 15 + -7 + 10x Combine like terms: 15 + -7 = 8 21 + -3x = 8 + 10x Solving 21 + -3x = 8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 21 + -3x + -10x = 8 + 10x + -10x Combine like terms: -3x + -10x = -13x 21 + -13x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + -13x = 8 + 0 21 + -13x = 8 Add '-21' to each side of the equation. 21 + -21 + -13x = 8 + -21 Combine like terms: 21 + -21 = 0 0 + -13x = 8 + -21 -13x = 8 + -21 Combine like terms: 8 + -21 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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