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Simplifying -15x + 3(2x + -5) = 19 + -8x Reorder the terms: -15x + 3(-5 + 2x) = 19 + -8x -15x + (-5 * 3 + 2x * 3) = 19 + -8x -15x + (-15 + 6x) = 19 + -8x Reorder the terms: -15 + -15x + 6x = 19 + -8x Combine like terms: -15x + 6x = -9x -15 + -9x = 19 + -8x Solving -15 + -9x = 19 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -15 + -9x + 8x = 19 + -8x + 8x Combine like terms: -9x + 8x = -1x -15 + -1x = 19 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + -1x = 19 + 0 -15 + -1x = 19 Add '15' to each side of the equation. -15 + 15 + -1x = 19 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 19 + 15 -1x = 19 + 15 Combine like terms: 19 + 15 = 34 -1x = 34 Divide each side by '-1'. x = -34 Simplifying x = -34
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