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Simplifying 8x + [-3x + -1(x + 8)] = 2x + -1(3x + 19) Reorder the terms: 8x + [-3x + -1(8 + x)] = 2x + -1(3x + 19) 8x + [-3x + (8 * -1 + x * -1)] = 2x + -1(3x + 19) 8x + [-3x + (-8 + -1x)] = 2x + -1(3x + 19) Reorder the terms: 8x + [-8 + -3x + -1x] = 2x + -1(3x + 19) Combine like terms: -3x + -1x = -4x 8x + [-8 + -4x] = 2x + -1(3x + 19) Remove brackets around [-8 + -4x] 8x + -8 + -4x = 2x + -1(3x + 19) Reorder the terms: -8 + 8x + -4x = 2x + -1(3x + 19) Combine like terms: 8x + -4x = 4x -8 + 4x = 2x + -1(3x + 19) Reorder the terms: -8 + 4x = 2x + -1(19 + 3x) -8 + 4x = 2x + (19 * -1 + 3x * -1) -8 + 4x = 2x + (-19 + -3x) Reorder the terms: -8 + 4x = -19 + 2x + -3x Combine like terms: 2x + -3x = -1x -8 + 4x = -19 + -1x Solving -8 + 4x = -19 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + 4x + x = -19 + -1x + x Combine like terms: 4x + x = 5x -8 + 5x = -19 + -1x + x Combine like terms: -1x + x = 0 -8 + 5x = -19 + 0 -8 + 5x = -19 Add '8' to each side of the equation. -8 + 8 + 5x = -19 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = -19 + 8 5x = -19 + 8 Combine like terms: -19 + 8 = -11 5x = -11 Divide each side by '5'. x = -2.2 Simplifying x = -2.2
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