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Simplifying 7(3x + 2) + -3 = 2(x + -2) + 5 Reorder the terms: 7(2 + 3x) + -3 = 2(x + -2) + 5 (2 * 7 + 3x * 7) + -3 = 2(x + -2) + 5 (14 + 21x) + -3 = 2(x + -2) + 5 Reorder the terms: 14 + -3 + 21x = 2(x + -2) + 5 Combine like terms: 14 + -3 = 11 11 + 21x = 2(x + -2) + 5 Reorder the terms: 11 + 21x = 2(-2 + x) + 5 11 + 21x = (-2 * 2 + x * 2) + 5 11 + 21x = (-4 + 2x) + 5 Reorder the terms: 11 + 21x = -4 + 5 + 2x Combine like terms: -4 + 5 = 1 11 + 21x = 1 + 2x Solving 11 + 21x = 1 + 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. 11 + 21x + -2x = 1 + 2x + -2x Combine like terms: 21x + -2x = 19x 11 + 19x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + 19x = 1 + 0 11 + 19x = 1 Add '-11' to each side of the equation. 11 + -11 + 19x = 1 + -11 Combine like terms: 11 + -11 = 0 0 + 19x = 1 + -11 19x = 1 + -11 Combine like terms: 1 + -11 = -10 19x = -10 Divide each side by '19'. x = -0.5263157895 Simplifying x = -0.5263157895
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