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Simplifying 4(2x + 1) + 3 = 5(3x + -2) + -4 Reorder the terms: 4(1 + 2x) + 3 = 5(3x + -2) + -4 (1 * 4 + 2x * 4) + 3 = 5(3x + -2) + -4 (4 + 8x) + 3 = 5(3x + -2) + -4 Reorder the terms: 4 + 3 + 8x = 5(3x + -2) + -4 Combine like terms: 4 + 3 = 7 7 + 8x = 5(3x + -2) + -4 Reorder the terms: 7 + 8x = 5(-2 + 3x) + -4 7 + 8x = (-2 * 5 + 3x * 5) + -4 7 + 8x = (-10 + 15x) + -4 Reorder the terms: 7 + 8x = -10 + -4 + 15x Combine like terms: -10 + -4 = -14 7 + 8x = -14 + 15x Solving 7 + 8x = -14 + 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 + 8x + -15x = -14 + 15x + -15x Combine like terms: 8x + -15x = -7x 7 + -7x = -14 + 15x + -15x Combine like terms: 15x + -15x = 0 7 + -7x = -14 + 0 7 + -7x = -14 Add '-7' to each side of the equation. 7 + -7 + -7x = -14 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = -14 + -7 -7x = -14 + -7 Combine like terms: -14 + -7 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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