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Simplifying 5(2x + -3) + 8 = 6x + -19 Reorder the terms: 5(-3 + 2x) + 8 = 6x + -19 (-3 * 5 + 2x * 5) + 8 = 6x + -19 (-15 + 10x) + 8 = 6x + -19 Reorder the terms: -15 + 8 + 10x = 6x + -19 Combine like terms: -15 + 8 = -7 -7 + 10x = 6x + -19 Reorder the terms: -7 + 10x = -19 + 6x Solving -7 + 10x = -19 + 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. -7 + 10x + -6x = -19 + 6x + -6x Combine like terms: 10x + -6x = 4x -7 + 4x = -19 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + 4x = -19 + 0 -7 + 4x = -19 Add '7' to each side of the equation. -7 + 7 + 4x = -19 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = -19 + 7 4x = -19 + 7 Combine like terms: -19 + 7 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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