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Simplifying 6(x + 3) * 5 = 4(x + 1) + 3 Reorder the terms: 6(3 + x) * 5 = 4(x + 1) + 3 Reorder the terms for easier multiplication: 6 * 5(3 + x) = 4(x + 1) + 3 Multiply 6 * 5 30(3 + x) = 4(x + 1) + 3 (3 * 30 + x * 30) = 4(x + 1) + 3 (90 + 30x) = 4(x + 1) + 3 Reorder the terms: 90 + 30x = 4(1 + x) + 3 90 + 30x = (1 * 4 + x * 4) + 3 90 + 30x = (4 + 4x) + 3 Reorder the terms: 90 + 30x = 4 + 3 + 4x Combine like terms: 4 + 3 = 7 90 + 30x = 7 + 4x Solving 90 + 30x = 7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 90 + 30x + -4x = 7 + 4x + -4x Combine like terms: 30x + -4x = 26x 90 + 26x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 90 + 26x = 7 + 0 90 + 26x = 7 Add '-90' to each side of the equation. 90 + -90 + 26x = 7 + -90 Combine like terms: 90 + -90 = 0 0 + 26x = 7 + -90 26x = 7 + -90 Combine like terms: 7 + -90 = -83 26x = -83 Divide each side by '26'. x = -3.192307692 Simplifying x = -3.192307692
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