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Simplifying 3(5x + -3) + 4x = 11 + 5(15 + -4x) + -1x Reorder the terms: 3(-3 + 5x) + 4x = 11 + 5(15 + -4x) + -1x (-3 * 3 + 5x * 3) + 4x = 11 + 5(15 + -4x) + -1x (-9 + 15x) + 4x = 11 + 5(15 + -4x) + -1x Combine like terms: 15x + 4x = 19x -9 + 19x = 11 + 5(15 + -4x) + -1x -9 + 19x = 11 + (15 * 5 + -4x * 5) + -1x -9 + 19x = 11 + (75 + -20x) + -1x Combine like terms: 11 + 75 = 86 -9 + 19x = 86 + -20x + -1x Combine like terms: -20x + -1x = -21x -9 + 19x = 86 + -21x Solving -9 + 19x = 86 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -9 + 19x + 21x = 86 + -21x + 21x Combine like terms: 19x + 21x = 40x -9 + 40x = 86 + -21x + 21x Combine like terms: -21x + 21x = 0 -9 + 40x = 86 + 0 -9 + 40x = 86 Add '9' to each side of the equation. -9 + 9 + 40x = 86 + 9 Combine like terms: -9 + 9 = 0 0 + 40x = 86 + 9 40x = 86 + 9 Combine like terms: 86 + 9 = 95 40x = 95 Divide each side by '40'. x = 2.375 Simplifying x = 2.375
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