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Simplifying [2x + -1] + 3[x + -4] = x + 8 Reorder the terms: [-1 + 2x] + 3[x + -4] = x + 8 Remove brackets around [-1 + 2x] -1 + 2x + 3[x + -4] = x + 8 Reorder the terms: -1 + 2x + 3[-4 + x] = x + 8 -1 + 2x + [-4 * 3 + x * 3] = x + 8 -1 + 2x + [-12 + 3x] = x + 8 Reorder the terms: -1 + -12 + 2x + 3x = x + 8 Combine like terms: -1 + -12 = -13 -13 + 2x + 3x = x + 8 Combine like terms: 2x + 3x = 5x -13 + 5x = x + 8 Reorder the terms: -13 + 5x = 8 + x Solving -13 + 5x = 8 + 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. -13 + 5x + -1x = 8 + x + -1x Combine like terms: 5x + -1x = 4x -13 + 4x = 8 + x + -1x Combine like terms: x + -1x = 0 -13 + 4x = 8 + 0 -13 + 4x = 8 Add '13' to each side of the equation. -13 + 13 + 4x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 8 + 13 4x = 8 + 13 Combine like terms: 8 + 13 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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