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Simplifying -5(x + 3) + 3x + 6 = 6x + 10 Reorder the terms: -5(3 + x) + 3x + 6 = 6x + 10 (3 * -5 + x * -5) + 3x + 6 = 6x + 10 (-15 + -5x) + 3x + 6 = 6x + 10 Reorder the terms: -15 + 6 + -5x + 3x = 6x + 10 Combine like terms: -15 + 6 = -9 -9 + -5x + 3x = 6x + 10 Combine like terms: -5x + 3x = -2x -9 + -2x = 6x + 10 Reorder the terms: -9 + -2x = 10 + 6x Solving -9 + -2x = 10 + 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. -9 + -2x + -6x = 10 + 6x + -6x Combine like terms: -2x + -6x = -8x -9 + -8x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -8x = 10 + 0 -9 + -8x = 10 Add '9' to each side of the equation. -9 + 9 + -8x = 10 + 9 Combine like terms: -9 + 9 = 0 0 + -8x = 10 + 9 -8x = 10 + 9 Combine like terms: 10 + 9 = 19 -8x = 19 Divide each side by '-8'. x = -2.375 Simplifying x = -2.375
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