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Simplifying 4(x + 3) = 3 + -5(3x + 1) Reorder the terms: 4(3 + x) = 3 + -5(3x + 1) (3 * 4 + x * 4) = 3 + -5(3x + 1) (12 + 4x) = 3 + -5(3x + 1) Reorder the terms: 12 + 4x = 3 + -5(1 + 3x) 12 + 4x = 3 + (1 * -5 + 3x * -5) 12 + 4x = 3 + (-5 + -15x) Combine like terms: 3 + -5 = -2 12 + 4x = -2 + -15x Solving 12 + 4x = -2 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 12 + 4x + 15x = -2 + -15x + 15x Combine like terms: 4x + 15x = 19x 12 + 19x = -2 + -15x + 15x Combine like terms: -15x + 15x = 0 12 + 19x = -2 + 0 12 + 19x = -2 Add '-12' to each side of the equation. 12 + -12 + 19x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 19x = -2 + -12 19x = -2 + -12 Combine like terms: -2 + -12 = -14 19x = -14 Divide each side by '19'. x = -0.7368421053 Simplifying x = -0.7368421053
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