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Simplifying -6(x + 3) + 4x + 5 = 6x + 12 Reorder the terms: -6(3 + x) + 4x + 5 = 6x + 12 (3 * -6 + x * -6) + 4x + 5 = 6x + 12 (-18 + -6x) + 4x + 5 = 6x + 12 Reorder the terms: -18 + 5 + -6x + 4x = 6x + 12 Combine like terms: -18 + 5 = -13 -13 + -6x + 4x = 6x + 12 Combine like terms: -6x + 4x = -2x -13 + -2x = 6x + 12 Reorder the terms: -13 + -2x = 12 + 6x Solving -13 + -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. -13 + -2x + -6x = 12 + 6x + -6x Combine like terms: -2x + -6x = -8x -13 + -8x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + -8x = 12 + 0 -13 + -8x = 12 Add '13' to each side of the equation. -13 + 13 + -8x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + -8x = 12 + 13 -8x = 12 + 13 Combine like terms: 12 + 13 = 25 -8x = 25 Divide each side by '-8'. x = -3.125 Simplifying x = -3.125
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