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Simplifying 3(5x + -2) + 5 = 7x + -12 Reorder the terms: 3(-2 + 5x) + 5 = 7x + -12 (-2 * 3 + 5x * 3) + 5 = 7x + -12 (-6 + 15x) + 5 = 7x + -12 Reorder the terms: -6 + 5 + 15x = 7x + -12 Combine like terms: -6 + 5 = -1 -1 + 15x = 7x + -12 Reorder the terms: -1 + 15x = -12 + 7x Solving -1 + 15x = -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. -1 + 15x + -7x = -12 + 7x + -7x Combine like terms: 15x + -7x = 8x -1 + 8x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + 8x = -12 + 0 -1 + 8x = -12 Add '1' to each side of the equation. -1 + 1 + 8x = -12 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = -12 + 1 8x = -12 + 1 Combine like terms: -12 + 1 = -11 8x = -11 Divide each side by '8'. x = -1.375 Simplifying x = -1.375
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