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Simplifying 45 = -7x + 5(1 + 3x) 45 = -7x + (1 * 5 + 3x * 5) 45 = -7x + (5 + 15x) Reorder the terms: 45 = 5 + -7x + 15x Combine like terms: -7x + 15x = 8x 45 = 5 + 8x Solving 45 = 5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 45 + -8x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + -8x = 5 + 0 45 + -8x = 5 Add '-45' to each side of the equation. 45 + -45 + -8x = 5 + -45 Combine like terms: 45 + -45 = 0 0 + -8x = 5 + -45 -8x = 5 + -45 Combine like terms: 5 + -45 = -40 -8x = -40 Divide each side by '-8'. x = 5 Simplifying x = 5
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