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Simplifying 3[-53 + -7(4x + -9) + 18x] = 0 Reorder the terms: 3[-53 + -7(-9 + 4x) + 18x] = 0 3[-53 + (-9 * -7 + 4x * -7) + 18x] = 0 3[-53 + (63 + -28x) + 18x] = 0 Combine like terms: -53 + 63 = 10 3[10 + -28x + 18x] = 0 Combine like terms: -28x + 18x = -10x 3[10 + -10x] = 0 [10 * 3 + -10x * 3] = 0 [30 + -30x] = 0 Solving 30 + -30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -30x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -30x = 0 + -30 -30x = 0 + -30 Combine like terms: 0 + -30 = -30 -30x = -30 Divide each side by '-30'. x = 1 Simplifying x = 1
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