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Simplifying -4 + 10[6x + -7(8 + 3x)] = 0 -4 + 10[6x + (8 * -7 + 3x * -7)] = 0 -4 + 10[6x + (-56 + -21x)] = 0 Reorder the terms: -4 + 10[-56 + 6x + -21x] = 0 Combine like terms: 6x + -21x = -15x -4 + 10[-56 + -15x] = 0 -4 + [-56 * 10 + -15x * 10] = 0 -4 + [-560 + -150x] = 0 Combine like terms: -4 + -560 = -564 -564 + -150x = 0 Solving -564 + -150x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '564' to each side of the equation. -564 + 564 + -150x = 0 + 564 Combine like terms: -564 + 564 = 0 0 + -150x = 0 + 564 -150x = 0 + 564 Combine like terms: 0 + 564 = 564 -150x = 564 Divide each side by '-150'. x = -3.76 Simplifying x = -3.76
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