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Simplifying 15(6x + 1) + -20(x + -13) = 90(5x + -3) + 6(x) Reorder the terms: 15(1 + 6x) + -20(x + -13) = 90(5x + -3) + 6(x) (1 * 15 + 6x * 15) + -20(x + -13) = 90(5x + -3) + 6(x) (15 + 90x) + -20(x + -13) = 90(5x + -3) + 6(x) Reorder the terms: 15 + 90x + -20(-13 + x) = 90(5x + -3) + 6(x) 15 + 90x + (-13 * -20 + x * -20) = 90(5x + -3) + 6(x) 15 + 90x + (260 + -20x) = 90(5x + -3) + 6(x) Reorder the terms: 15 + 260 + 90x + -20x = 90(5x + -3) + 6(x) Combine like terms: 15 + 260 = 275 275 + 90x + -20x = 90(5x + -3) + 6(x) Combine like terms: 90x + -20x = 70x 275 + 70x = 90(5x + -3) + 6(x) Reorder the terms: 275 + 70x = 90(-3 + 5x) + 6(x) 275 + 70x = (-3 * 90 + 5x * 90) + 6(x) 275 + 70x = (-270 + 450x) + 6(x) Combine like terms: 450x + 6x = 456x 275 + 70x = -270 + 456x Solving 275 + 70x = -270 + 456x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-456x' to each side of the equation. 275 + 70x + -456x = -270 + 456x + -456x Combine like terms: 70x + -456x = -386x 275 + -386x = -270 + 456x + -456x Combine like terms: 456x + -456x = 0 275 + -386x = -270 + 0 275 + -386x = -270 Add '-275' to each side of the equation. 275 + -275 + -386x = -270 + -275 Combine like terms: 275 + -275 = 0 0 + -386x = -270 + -275 -386x = -270 + -275 Combine like terms: -270 + -275 = -545 -386x = -545 Divide each side by '-386'. x = 1.411917098 Simplifying x = 1.411917098
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