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Simplifying 5[4 + 6(4x + -2)] = 6x + -838 Reorder the terms: 5[4 + 6(-2 + 4x)] = 6x + -838 5[4 + (-2 * 6 + 4x * 6)] = 6x + -838 5[4 + (-12 + 24x)] = 6x + -838 Combine like terms: 4 + -12 = -8 5[-8 + 24x] = 6x + -838 [-8 * 5 + 24x * 5] = 6x + -838 [-40 + 120x] = 6x + -838 Reorder the terms: -40 + 120x = -838 + 6x Solving -40 + 120x = -838 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -40 + 120x + -6x = -838 + 6x + -6x Combine like terms: 120x + -6x = 114x -40 + 114x = -838 + 6x + -6x Combine like terms: 6x + -6x = 0 -40 + 114x = -838 + 0 -40 + 114x = -838 Add '40' to each side of the equation. -40 + 40 + 114x = -838 + 40 Combine like terms: -40 + 40 = 0 0 + 114x = -838 + 40 114x = -838 + 40 Combine like terms: -838 + 40 = -798 114x = -798 Divide each side by '114'. x = -7 Simplifying x = -7
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