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Simplifying 6(4x + 7) + 3 = 2(5x + -2) + 7 Reorder the terms: 6(7 + 4x) + 3 = 2(5x + -2) + 7 (7 * 6 + 4x * 6) + 3 = 2(5x + -2) + 7 (42 + 24x) + 3 = 2(5x + -2) + 7 Reorder the terms: 42 + 3 + 24x = 2(5x + -2) + 7 Combine like terms: 42 + 3 = 45 45 + 24x = 2(5x + -2) + 7 Reorder the terms: 45 + 24x = 2(-2 + 5x) + 7 45 + 24x = (-2 * 2 + 5x * 2) + 7 45 + 24x = (-4 + 10x) + 7 Reorder the terms: 45 + 24x = -4 + 7 + 10x Combine like terms: -4 + 7 = 3 45 + 24x = 3 + 10x Solving 45 + 24x = 3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 45 + 24x + -10x = 3 + 10x + -10x Combine like terms: 24x + -10x = 14x 45 + 14x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 45 + 14x = 3 + 0 45 + 14x = 3 Add '-45' to each side of the equation. 45 + -45 + 14x = 3 + -45 Combine like terms: 45 + -45 = 0 0 + 14x = 3 + -45 14x = 3 + -45 Combine like terms: 3 + -45 = -42 14x = -42 Divide each side by '14'. x = -3 Simplifying x = -3
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