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Simplifying 9x + -1[x + 3] = 2[x + 4] + 7 Reorder the terms: 9x + -1[3 + x] = 2[x + 4] + 7 9x + [3 * -1 + x * -1] = 2[x + 4] + 7 9x + [-3 + -1x] = 2[x + 4] + 7 Reorder the terms: -3 + 9x + -1x = 2[x + 4] + 7 Combine like terms: 9x + -1x = 8x -3 + 8x = 2[x + 4] + 7 Reorder the terms: -3 + 8x = 2[4 + x] + 7 -3 + 8x = [4 * 2 + x * 2] + 7 -3 + 8x = [8 + 2x] + 7 Reorder the terms: -3 + 8x = 8 + 7 + 2x Combine like terms: 8 + 7 = 15 -3 + 8x = 15 + 2x Solving -3 + 8x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -3 + 8x + -2x = 15 + 2x + -2x Combine like terms: 8x + -2x = 6x -3 + 6x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 6x = 15 + 0 -3 + 6x = 15 Add '3' to each side of the equation. -3 + 3 + 6x = 15 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 15 + 3 6x = 15 + 3 Combine like terms: 15 + 3 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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