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Simplifying 5[x + -3(1 + -2x) + -6] + -2(x + 10) = 40x + -16 5[x + (1 * -3 + -2x * -3) + -6] + -2(x + 10) = 40x + -16 5[x + (-3 + 6x) + -6] + -2(x + 10) = 40x + -16 Reorder the terms: 5[-3 + -6 + x + 6x] + -2(x + 10) = 40x + -16 Combine like terms: -3 + -6 = -9 5[-9 + x + 6x] + -2(x + 10) = 40x + -16 Combine like terms: x + 6x = 7x 5[-9 + 7x] + -2(x + 10) = 40x + -16 [-9 * 5 + 7x * 5] + -2(x + 10) = 40x + -16 [-45 + 35x] + -2(x + 10) = 40x + -16 Reorder the terms: -45 + 35x + -2(10 + x) = 40x + -16 -45 + 35x + (10 * -2 + x * -2) = 40x + -16 -45 + 35x + (-20 + -2x) = 40x + -16 Reorder the terms: -45 + -20 + 35x + -2x = 40x + -16 Combine like terms: -45 + -20 = -65 -65 + 35x + -2x = 40x + -16 Combine like terms: 35x + -2x = 33x -65 + 33x = 40x + -16 Reorder the terms: -65 + 33x = -16 + 40x Solving -65 + 33x = -16 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -65 + 33x + -40x = -16 + 40x + -40x Combine like terms: 33x + -40x = -7x -65 + -7x = -16 + 40x + -40x Combine like terms: 40x + -40x = 0 -65 + -7x = -16 + 0 -65 + -7x = -16 Add '65' to each side of the equation. -65 + 65 + -7x = -16 + 65 Combine like terms: -65 + 65 = 0 0 + -7x = -16 + 65 -7x = -16 + 65 Combine like terms: -16 + 65 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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