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Simplifying -3(x + 5) + 3 = 7(x + 3) + 5 Reorder the terms: -3(5 + x) + 3 = 7(x + 3) + 5 (5 * -3 + x * -3) + 3 = 7(x + 3) + 5 (-15 + -3x) + 3 = 7(x + 3) + 5 Reorder the terms: -15 + 3 + -3x = 7(x + 3) + 5 Combine like terms: -15 + 3 = -12 -12 + -3x = 7(x + 3) + 5 Reorder the terms: -12 + -3x = 7(3 + x) + 5 -12 + -3x = (3 * 7 + x * 7) + 5 -12 + -3x = (21 + 7x) + 5 Reorder the terms: -12 + -3x = 21 + 5 + 7x Combine like terms: 21 + 5 = 26 -12 + -3x = 26 + 7x Solving -12 + -3x = 26 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -12 + -3x + -7x = 26 + 7x + -7x Combine like terms: -3x + -7x = -10x -12 + -10x = 26 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + -10x = 26 + 0 -12 + -10x = 26 Add '12' to each side of the equation. -12 + 12 + -10x = 26 + 12 Combine like terms: -12 + 12 = 0 0 + -10x = 26 + 12 -10x = 26 + 12 Combine like terms: 26 + 12 = 38 -10x = 38 Divide each side by '-10'. x = -3.8 Simplifying x = -3.8
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