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Simplifying 3x(2) + 7 = 5(3x + 4) Reorder the terms for easier multiplication: 3 * 2x + 7 = 5(3x + 4) Multiply 3 * 2 6x + 7 = 5(3x + 4) Reorder the terms: 7 + 6x = 5(3x + 4) Reorder the terms: 7 + 6x = 5(4 + 3x) 7 + 6x = (4 * 5 + 3x * 5) 7 + 6x = (20 + 15x) Solving 7 + 6x = 20 + 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. 7 + 6x + -15x = 20 + 15x + -15x Combine like terms: 6x + -15x = -9x 7 + -9x = 20 + 15x + -15x Combine like terms: 15x + -15x = 0 7 + -9x = 20 + 0 7 + -9x = 20 Add '-7' to each side of the equation. 7 + -7 + -9x = 20 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 20 + -7 -9x = 20 + -7 Combine like terms: 20 + -7 = 13 -9x = 13 Divide each side by '-9'. x = -1.444444444 Simplifying x = -1.444444444
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