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Simplifying 5(3x + 1) + 3(2x + -2) = 2x + -77 Reorder the terms: 5(1 + 3x) + 3(2x + -2) = 2x + -77 (1 * 5 + 3x * 5) + 3(2x + -2) = 2x + -77 (5 + 15x) + 3(2x + -2) = 2x + -77 Reorder the terms: 5 + 15x + 3(-2 + 2x) = 2x + -77 5 + 15x + (-2 * 3 + 2x * 3) = 2x + -77 5 + 15x + (-6 + 6x) = 2x + -77 Reorder the terms: 5 + -6 + 15x + 6x = 2x + -77 Combine like terms: 5 + -6 = -1 -1 + 15x + 6x = 2x + -77 Combine like terms: 15x + 6x = 21x -1 + 21x = 2x + -77 Reorder the terms: -1 + 21x = -77 + 2x Solving -1 + 21x = -77 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 21x + -2x = -77 + 2x + -2x Combine like terms: 21x + -2x = 19x -1 + 19x = -77 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 19x = -77 + 0 -1 + 19x = -77 Add '1' to each side of the equation. -1 + 1 + 19x = -77 + 1 Combine like terms: -1 + 1 = 0 0 + 19x = -77 + 1 19x = -77 + 1 Combine like terms: -77 + 1 = -76 19x = -76 Divide each side by '19'. x = -4 Simplifying x = -4
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