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Simplifying 53 + -6(7x + -3) = 8(4 + -3x) Reorder the terms: 53 + -6(-3 + 7x) = 8(4 + -3x) 53 + (-3 * -6 + 7x * -6) = 8(4 + -3x) 53 + (18 + -42x) = 8(4 + -3x) Combine like terms: 53 + 18 = 71 71 + -42x = 8(4 + -3x) 71 + -42x = (4 * 8 + -3x * 8) 71 + -42x = (32 + -24x) Solving 71 + -42x = 32 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 71 + -42x + 24x = 32 + -24x + 24x Combine like terms: -42x + 24x = -18x 71 + -18x = 32 + -24x + 24x Combine like terms: -24x + 24x = 0 71 + -18x = 32 + 0 71 + -18x = 32 Add '-71' to each side of the equation. 71 + -71 + -18x = 32 + -71 Combine like terms: 71 + -71 = 0 0 + -18x = 32 + -71 -18x = 32 + -71 Combine like terms: 32 + -71 = -39 -18x = -39 Divide each side by '-18'. x = 2.166666667 Simplifying x = 2.166666667
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