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Simplifying 2(3x + 1) + -5(3x + 4) = -7x + -21 Reorder the terms: 2(1 + 3x) + -5(3x + 4) = -7x + -21 (1 * 2 + 3x * 2) + -5(3x + 4) = -7x + -21 (2 + 6x) + -5(3x + 4) = -7x + -21 Reorder the terms: 2 + 6x + -5(4 + 3x) = -7x + -21 2 + 6x + (4 * -5 + 3x * -5) = -7x + -21 2 + 6x + (-20 + -15x) = -7x + -21 Reorder the terms: 2 + -20 + 6x + -15x = -7x + -21 Combine like terms: 2 + -20 = -18 -18 + 6x + -15x = -7x + -21 Combine like terms: 6x + -15x = -9x -18 + -9x = -7x + -21 Reorder the terms: -18 + -9x = -21 + -7x Solving -18 + -9x = -21 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -18 + -9x + 7x = -21 + -7x + 7x Combine like terms: -9x + 7x = -2x -18 + -2x = -21 + -7x + 7x Combine like terms: -7x + 7x = 0 -18 + -2x = -21 + 0 -18 + -2x = -21 Add '18' to each side of the equation. -18 + 18 + -2x = -21 + 18 Combine like terms: -18 + 18 = 0 0 + -2x = -21 + 18 -2x = -21 + 18 Combine like terms: -21 + 18 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5
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