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Simplifying 7(x + 15) + 1 = 3(x + 3) + -2 Reorder the terms: 7(15 + x) + 1 = 3(x + 3) + -2 (15 * 7 + x * 7) + 1 = 3(x + 3) + -2 (105 + 7x) + 1 = 3(x + 3) + -2 Reorder the terms: 105 + 1 + 7x = 3(x + 3) + -2 Combine like terms: 105 + 1 = 106 106 + 7x = 3(x + 3) + -2 Reorder the terms: 106 + 7x = 3(3 + x) + -2 106 + 7x = (3 * 3 + x * 3) + -2 106 + 7x = (9 + 3x) + -2 Reorder the terms: 106 + 7x = 9 + -2 + 3x Combine like terms: 9 + -2 = 7 106 + 7x = 7 + 3x Solving 106 + 7x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 106 + 7x + -3x = 7 + 3x + -3x Combine like terms: 7x + -3x = 4x 106 + 4x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 106 + 4x = 7 + 0 106 + 4x = 7 Add '-106' to each side of the equation. 106 + -106 + 4x = 7 + -106 Combine like terms: 106 + -106 = 0 0 + 4x = 7 + -106 4x = 7 + -106 Combine like terms: 7 + -106 = -99 4x = -99 Divide each side by '4'. x = -24.75 Simplifying x = -24.75
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