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Simplifying 5(x + -7) + -3(-1x + 1) = 5x + 19 Reorder the terms: 5(-7 + x) + -3(-1x + 1) = 5x + 19 (-7 * 5 + x * 5) + -3(-1x + 1) = 5x + 19 (-35 + 5x) + -3(-1x + 1) = 5x + 19 Reorder the terms: -35 + 5x + -3(1 + -1x) = 5x + 19 -35 + 5x + (1 * -3 + -1x * -3) = 5x + 19 -35 + 5x + (-3 + 3x) = 5x + 19 Reorder the terms: -35 + -3 + 5x + 3x = 5x + 19 Combine like terms: -35 + -3 = -38 -38 + 5x + 3x = 5x + 19 Combine like terms: 5x + 3x = 8x -38 + 8x = 5x + 19 Reorder the terms: -38 + 8x = 19 + 5x Solving -38 + 8x = 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. -38 + 8x + -5x = 19 + 5x + -5x Combine like terms: 8x + -5x = 3x -38 + 3x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 -38 + 3x = 19 + 0 -38 + 3x = 19 Add '38' to each side of the equation. -38 + 38 + 3x = 19 + 38 Combine like terms: -38 + 38 = 0 0 + 3x = 19 + 38 3x = 19 + 38 Combine like terms: 19 + 38 = 57 3x = 57 Divide each side by '3'. x = 19 Simplifying x = 19
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