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Simplifying 4[7 + 5(7 + -1x) + 2x] = 14 + -2x 4[7 + (7 * 5 + -1x * 5) + 2x] = 14 + -2x 4[7 + (35 + -5x) + 2x] = 14 + -2x Combine like terms: 7 + 35 = 42 4[42 + -5x + 2x] = 14 + -2x Combine like terms: -5x + 2x = -3x 4[42 + -3x] = 14 + -2x [42 * 4 + -3x * 4] = 14 + -2x [168 + -12x] = 14 + -2x Solving 168 + -12x = 14 + -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. 168 + -12x + 2x = 14 + -2x + 2x Combine like terms: -12x + 2x = -10x 168 + -10x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 168 + -10x = 14 + 0 168 + -10x = 14 Add '-168' to each side of the equation. 168 + -168 + -10x = 14 + -168 Combine like terms: 168 + -168 = 0 0 + -10x = 14 + -168 -10x = 14 + -168 Combine like terms: 14 + -168 = -154 -10x = -154 Divide each side by '-10'. x = 15.4 Simplifying x = 15.4
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