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Simplifying 6(5x + -2) + -5(6x + -5) = 4(9 + -2x) + 1 Reorder the terms: 6(-2 + 5x) + -5(6x + -5) = 4(9 + -2x) + 1 (-2 * 6 + 5x * 6) + -5(6x + -5) = 4(9 + -2x) + 1 (-12 + 30x) + -5(6x + -5) = 4(9 + -2x) + 1 Reorder the terms: -12 + 30x + -5(-5 + 6x) = 4(9 + -2x) + 1 -12 + 30x + (-5 * -5 + 6x * -5) = 4(9 + -2x) + 1 -12 + 30x + (25 + -30x) = 4(9 + -2x) + 1 Reorder the terms: -12 + 25 + 30x + -30x = 4(9 + -2x) + 1 Combine like terms: -12 + 25 = 13 13 + 30x + -30x = 4(9 + -2x) + 1 Combine like terms: 30x + -30x = 0 13 + 0 = 4(9 + -2x) + 1 13 = 4(9 + -2x) + 1 13 = (9 * 4 + -2x * 4) + 1 13 = (36 + -8x) + 1 Reorder the terms: 13 = 36 + 1 + -8x Combine like terms: 36 + 1 = 37 13 = 37 + -8x Solving 13 = 37 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 13 + 8x = 37 + -8x + 8x Combine like terms: -8x + 8x = 0 13 + 8x = 37 + 0 13 + 8x = 37 Add '-13' to each side of the equation. 13 + -13 + 8x = 37 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = 37 + -13 8x = 37 + -13 Combine like terms: 37 + -13 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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