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Simplifying -8(x + 2) + 2x + 7 = 7x + 12 Reorder the terms: -8(2 + x) + 2x + 7 = 7x + 12 (2 * -8 + x * -8) + 2x + 7 = 7x + 12 (-16 + -8x) + 2x + 7 = 7x + 12 Reorder the terms: -16 + 7 + -8x + 2x = 7x + 12 Combine like terms: -16 + 7 = -9 -9 + -8x + 2x = 7x + 12 Combine like terms: -8x + 2x = -6x -9 + -6x = 7x + 12 Reorder the terms: -9 + -6x = 12 + 7x Solving -9 + -6x = 12 + 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. -9 + -6x + -7x = 12 + 7x + -7x Combine like terms: -6x + -7x = -13x -9 + -13x = 12 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -13x = 12 + 0 -9 + -13x = 12 Add '9' to each side of the equation. -9 + 9 + -13x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -13x = 12 + 9 -13x = 12 + 9 Combine like terms: 12 + 9 = 21 -13x = 21 Divide each side by '-13'. x = -1.615384615 Simplifying x = -1.615384615
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