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Simplifying 9(4x + -3) + 10 = 11 + 4(7x + -3) Reorder the terms: 9(-3 + 4x) + 10 = 11 + 4(7x + -3) (-3 * 9 + 4x * 9) + 10 = 11 + 4(7x + -3) (-27 + 36x) + 10 = 11 + 4(7x + -3) Reorder the terms: -27 + 10 + 36x = 11 + 4(7x + -3) Combine like terms: -27 + 10 = -17 -17 + 36x = 11 + 4(7x + -3) Reorder the terms: -17 + 36x = 11 + 4(-3 + 7x) -17 + 36x = 11 + (-3 * 4 + 7x * 4) -17 + 36x = 11 + (-12 + 28x) Combine like terms: 11 + -12 = -1 -17 + 36x = -1 + 28x Solving -17 + 36x = -1 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -17 + 36x + -28x = -1 + 28x + -28x Combine like terms: 36x + -28x = 8x -17 + 8x = -1 + 28x + -28x Combine like terms: 28x + -28x = 0 -17 + 8x = -1 + 0 -17 + 8x = -1 Add '17' to each side of the equation. -17 + 17 + 8x = -1 + 17 Combine like terms: -17 + 17 = 0 0 + 8x = -1 + 17 8x = -1 + 17 Combine like terms: -1 + 17 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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