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Simplifying -5(x + 2) + 3x + 7 = 6x + 12 Reorder the terms: -5(2 + x) + 3x + 7 = 6x + 12 (2 * -5 + x * -5) + 3x + 7 = 6x + 12 (-10 + -5x) + 3x + 7 = 6x + 12 Reorder the terms: -10 + 7 + -5x + 3x = 6x + 12 Combine like terms: -10 + 7 = -3 -3 + -5x + 3x = 6x + 12 Combine like terms: -5x + 3x = -2x -3 + -2x = 6x + 12 Reorder the terms: -3 + -2x = 12 + 6x Solving -3 + -2x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + -2x + -6x = 12 + 6x + -6x Combine like terms: -2x + -6x = -8x -3 + -8x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -8x = 12 + 0 -3 + -8x = 12 Add '3' to each side of the equation. -3 + 3 + -8x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 12 + 3 -8x = 12 + 3 Combine like terms: 12 + 3 = 15 -8x = 15 Divide each side by '-8'. x = -1.875 Simplifying x = -1.875
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