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Simplifying 3(6x + -7) = 10x + 19 Reorder the terms: 3(-7 + 6x) = 10x + 19 (-7 * 3 + 6x * 3) = 10x + 19 (-21 + 18x) = 10x + 19 Reorder the terms: -21 + 18x = 19 + 10x Solving -21 + 18x = 19 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -21 + 18x + -10x = 19 + 10x + -10x Combine like terms: 18x + -10x = 8x -21 + 8x = 19 + 10x + -10x Combine like terms: 10x + -10x = 0 -21 + 8x = 19 + 0 -21 + 8x = 19 Add '21' to each side of the equation. -21 + 21 + 8x = 19 + 21 Combine like terms: -21 + 21 = 0 0 + 8x = 19 + 21 8x = 19 + 21 Combine like terms: 19 + 21 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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