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Simplifying 3x + -1[8 + -3(x + -10)] = x + 19 Reorder the terms: 3x + -1[8 + -3(-10 + x)] = x + 19 3x + -1[8 + (-10 * -3 + x * -3)] = x + 19 3x + -1[8 + (30 + -3x)] = x + 19 Combine like terms: 8 + 30 = 38 3x + -1[38 + -3x] = x + 19 3x + [38 * -1 + -3x * -1] = x + 19 3x + [-38 + 3x] = x + 19 Reorder the terms: -38 + 3x + 3x = x + 19 Combine like terms: 3x + 3x = 6x -38 + 6x = x + 19 Reorder the terms: -38 + 6x = 19 + x Solving -38 + 6x = 19 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -38 + 6x + -1x = 19 + x + -1x Combine like terms: 6x + -1x = 5x -38 + 5x = 19 + x + -1x Combine like terms: x + -1x = 0 -38 + 5x = 19 + 0 -38 + 5x = 19 Add '38' to each side of the equation. -38 + 38 + 5x = 19 + 38 Combine like terms: -38 + 38 = 0 0 + 5x = 19 + 38 5x = 19 + 38 Combine like terms: 19 + 38 = 57 5x = 57 Divide each side by '5'. x = 11.4 Simplifying x = 11.4
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