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Simplifying 4x + -7[2 + 3(x + -5) + x] = 0 Reorder the terms: 4x + -7[2 + 3(-5 + x) + x] = 0 4x + -7[2 + (-5 * 3 + x * 3) + x] = 0 4x + -7[2 + (-15 + 3x) + x] = 0 Combine like terms: 2 + -15 = -13 4x + -7[-13 + 3x + x] = 0 Combine like terms: 3x + x = 4x 4x + -7[-13 + 4x] = 0 4x + [-13 * -7 + 4x * -7] = 0 4x + [91 + -28x] = 0 Reorder the terms: 91 + 4x + -28x = 0 Combine like terms: 4x + -28x = -24x 91 + -24x = 0 Solving 91 + -24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-91' to each side of the equation. 91 + -91 + -24x = 0 + -91 Combine like terms: 91 + -91 = 0 0 + -24x = 0 + -91 -24x = 0 + -91 Combine like terms: 0 + -91 = -91 -24x = -91 Divide each side by '-24'. x = 3.791666667 Simplifying x = 3.791666667
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