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Simplifying 4 + -3(2x + 7) + 5x + 52 = 40 + -6(5 + -3x) Reorder the terms: 4 + -3(7 + 2x) + 5x + 52 = 40 + -6(5 + -3x) 4 + (7 * -3 + 2x * -3) + 5x + 52 = 40 + -6(5 + -3x) 4 + (-21 + -6x) + 5x + 52 = 40 + -6(5 + -3x) Reorder the terms: 4 + -21 + 52 + -6x + 5x = 40 + -6(5 + -3x) Combine like terms: 4 + -21 = -17 -17 + 52 + -6x + 5x = 40 + -6(5 + -3x) Combine like terms: -17 + 52 = 35 35 + -6x + 5x = 40 + -6(5 + -3x) Combine like terms: -6x + 5x = -1x 35 + -1x = 40 + -6(5 + -3x) 35 + -1x = 40 + (5 * -6 + -3x * -6) 35 + -1x = 40 + (-30 + 18x) Combine like terms: 40 + -30 = 10 35 + -1x = 10 + 18x Solving 35 + -1x = 10 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 35 + -1x + -18x = 10 + 18x + -18x Combine like terms: -1x + -18x = -19x 35 + -19x = 10 + 18x + -18x Combine like terms: 18x + -18x = 0 35 + -19x = 10 + 0 35 + -19x = 10 Add '-35' to each side of the equation. 35 + -35 + -19x = 10 + -35 Combine like terms: 35 + -35 = 0 0 + -19x = 10 + -35 -19x = 10 + -35 Combine like terms: 10 + -35 = -25 -19x = -25 Divide each side by '-19'. x = 1.315789474 Simplifying x = 1.315789474
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