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Simplifying -3(x + 2) * 2 + 14 = 17 + -4x Reorder the terms: -3(2 + x) * 2 + 14 = 17 + -4x Reorder the terms for easier multiplication: -3 * 2(2 + x) + 14 = 17 + -4x Multiply -3 * 2 -6(2 + x) + 14 = 17 + -4x (2 * -6 + x * -6) + 14 = 17 + -4x (-12 + -6x) + 14 = 17 + -4x Reorder the terms: -12 + 14 + -6x = 17 + -4x Combine like terms: -12 + 14 = 2 2 + -6x = 17 + -4x Solving 2 + -6x = 17 + -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. 2 + -6x + 4x = 17 + -4x + 4x Combine like terms: -6x + 4x = -2x 2 + -2x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + -2x = 17 + 0 2 + -2x = 17 Add '-2' to each side of the equation. 2 + -2 + -2x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 17 + -2 -2x = 17 + -2 Combine like terms: 17 + -2 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5
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