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Simplifying 3[2 + -4(x + -7)] = 10 + -5x Reorder the terms: 3[2 + -4(-7 + x)] = 10 + -5x 3[2 + (-7 * -4 + x * -4)] = 10 + -5x 3[2 + (28 + -4x)] = 10 + -5x Combine like terms: 2 + 28 = 30 3[30 + -4x] = 10 + -5x [30 * 3 + -4x * 3] = 10 + -5x [90 + -12x] = 10 + -5x Solving 90 + -12x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 90 + -12x + 5x = 10 + -5x + 5x Combine like terms: -12x + 5x = -7x 90 + -7x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 90 + -7x = 10 + 0 90 + -7x = 10 Add '-90' to each side of the equation. 90 + -90 + -7x = 10 + -90 Combine like terms: 90 + -90 = 0 0 + -7x = 10 + -90 -7x = 10 + -90 Combine like terms: 10 + -90 = -80 -7x = -80 Divide each side by '-7'. x = 11.42857143 Simplifying x = 11.42857143
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