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Simplifying 8(2x + -7) + -10x = 5x + 19 Reorder the terms: 8(-7 + 2x) + -10x = 5x + 19 (-7 * 8 + 2x * 8) + -10x = 5x + 19 (-56 + 16x) + -10x = 5x + 19 Combine like terms: 16x + -10x = 6x -56 + 6x = 5x + 19 Reorder the terms: -56 + 6x = 19 + 5x Solving -56 + 6x = 19 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -56 + 6x + -5x = 19 + 5x + -5x Combine like terms: 6x + -5x = 1x -56 + 1x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 -56 + 1x = 19 + 0 -56 + 1x = 19 Add '56' to each side of the equation. -56 + 56 + 1x = 19 + 56 Combine like terms: -56 + 56 = 0 0 + 1x = 19 + 56 1x = 19 + 56 Combine like terms: 19 + 56 = 75 1x = 75 Divide each side by '1'. x = 75 Simplifying x = 75
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