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Simplifying 6(x + 9) + -3x + 11 = 5(x + 1) + -1(x + -3) Reorder the terms: 6(9 + x) + -3x + 11 = 5(x + 1) + -1(x + -3) (9 * 6 + x * 6) + -3x + 11 = 5(x + 1) + -1(x + -3) (54 + 6x) + -3x + 11 = 5(x + 1) + -1(x + -3) Reorder the terms: 54 + 11 + 6x + -3x = 5(x + 1) + -1(x + -3) Combine like terms: 54 + 11 = 65 65 + 6x + -3x = 5(x + 1) + -1(x + -3) Combine like terms: 6x + -3x = 3x 65 + 3x = 5(x + 1) + -1(x + -3) Reorder the terms: 65 + 3x = 5(1 + x) + -1(x + -3) 65 + 3x = (1 * 5 + x * 5) + -1(x + -3) 65 + 3x = (5 + 5x) + -1(x + -3) Reorder the terms: 65 + 3x = 5 + 5x + -1(-3 + x) 65 + 3x = 5 + 5x + (-3 * -1 + x * -1) 65 + 3x = 5 + 5x + (3 + -1x) Reorder the terms: 65 + 3x = 5 + 3 + 5x + -1x Combine like terms: 5 + 3 = 8 65 + 3x = 8 + 5x + -1x Combine like terms: 5x + -1x = 4x 65 + 3x = 8 + 4x Solving 65 + 3x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 65 + 3x + -4x = 8 + 4x + -4x Combine like terms: 3x + -4x = -1x 65 + -1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 65 + -1x = 8 + 0 65 + -1x = 8 Add '-65' to each side of the equation. 65 + -65 + -1x = 8 + -65 Combine like terms: 65 + -65 = 0 0 + -1x = 8 + -65 -1x = 8 + -65 Combine like terms: 8 + -65 = -57 -1x = -57 Divide each side by '-1'. x = 57 Simplifying x = 57
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