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Simplifying 10[5 + 3(16 + -3x)] + -35 * 2 = 100 10[5 + (16 * 3 + -3x * 3)] + -35 * 2 = 100 10[5 + (48 + -9x)] + -35 * 2 = 100 Combine like terms: 5 + 48 = 53 10[53 + -9x] + -35 * 2 = 100 [53 * 10 + -9x * 10] + -35 * 2 = 100 [530 + -90x] + -35 * 2 = 100 Multiply -35 * 2 530 + -90x + -70 = 100 Reorder the terms: 530 + -70 + -90x = 100 Combine like terms: 530 + -70 = 460 460 + -90x = 100 Solving 460 + -90x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-460' to each side of the equation. 460 + -460 + -90x = 100 + -460 Combine like terms: 460 + -460 = 0 0 + -90x = 100 + -460 -90x = 100 + -460 Combine like terms: 100 + -460 = -360 -90x = -360 Divide each side by '-90'. x = 4 Simplifying x = 4
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