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Simplifying 7x + -1[14 + -1(2x + -5)] = 18 + -1[3x + (15 + -4x)] Reorder the terms: 7x + -1[14 + -1(-5 + 2x)] = 18 + -1[3x + (15 + -4x)] 7x + -1[14 + (-5 * -1 + 2x * -1)] = 18 + -1[3x + (15 + -4x)] 7x + -1[14 + (5 + -2x)] = 18 + -1[3x + (15 + -4x)] Combine like terms: 14 + 5 = 19 7x + -1[19 + -2x] = 18 + -1[3x + (15 + -4x)] 7x + [19 * -1 + -2x * -1] = 18 + -1[3x + (15 + -4x)] 7x + [-19 + 2x] = 18 + -1[3x + (15 + -4x)] Reorder the terms: -19 + 7x + 2x = 18 + -1[3x + (15 + -4x)] Combine like terms: 7x + 2x = 9x -19 + 9x = 18 + -1[3x + (15 + -4x)] Remove parenthesis around (15 + -4x) -19 + 9x = 18 + -1[3x + 15 + -4x] Reorder the terms: -19 + 9x = 18 + -1[15 + 3x + -4x] Combine like terms: 3x + -4x = -1x -19 + 9x = 18 + -1[15 + -1x] -19 + 9x = 18 + [15 * -1 + -1x * -1] -19 + 9x = 18 + [-15 + 1x] Combine like terms: 18 + -15 = 3 -19 + 9x = 3 + 1x Solving -19 + 9x = 3 + 1x 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. -19 + 9x + -1x = 3 + 1x + -1x Combine like terms: 9x + -1x = 8x -19 + 8x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 -19 + 8x = 3 + 0 -19 + 8x = 3 Add '19' to each side of the equation. -19 + 19 + 8x = 3 + 19 Combine like terms: -19 + 19 = 0 0 + 8x = 3 + 19 8x = 3 + 19 Combine like terms: 3 + 19 = 22 8x = 22 Divide each side by '8'. x = 2.75 Simplifying x = 2.75
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