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Simplifying -7(x + 2) + 17 = -4x + -15 Reorder the terms: -7(2 + x) + 17 = -4x + -15 (2 * -7 + x * -7) + 17 = -4x + -15 (-14 + -7x) + 17 = -4x + -15 Reorder the terms: -14 + 17 + -7x = -4x + -15 Combine like terms: -14 + 17 = 3 3 + -7x = -4x + -15 Reorder the terms: 3 + -7x = -15 + -4x Solving 3 + -7x = -15 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + -7x + 4x = -15 + -4x + 4x Combine like terms: -7x + 4x = -3x 3 + -3x = -15 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + -3x = -15 + 0 3 + -3x = -15 Add '-3' to each side of the equation. 3 + -3 + -3x = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -15 + -3 -3x = -15 + -3 Combine like terms: -15 + -3 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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