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Simplifying 5 + 6(3x + 1) = 4(2x + -3) Reorder the terms: 5 + 6(1 + 3x) = 4(2x + -3) 5 + (1 * 6 + 3x * 6) = 4(2x + -3) 5 + (6 + 18x) = 4(2x + -3) Combine like terms: 5 + 6 = 11 11 + 18x = 4(2x + -3) Reorder the terms: 11 + 18x = 4(-3 + 2x) 11 + 18x = (-3 * 4 + 2x * 4) 11 + 18x = (-12 + 8x) Solving 11 + 18x = -12 + 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. 11 + 18x + -8x = -12 + 8x + -8x Combine like terms: 18x + -8x = 10x 11 + 10x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 11 + 10x = -12 + 0 11 + 10x = -12 Add '-11' to each side of the equation. 11 + -11 + 10x = -12 + -11 Combine like terms: 11 + -11 = 0 0 + 10x = -12 + -11 10x = -12 + -11 Combine like terms: -12 + -11 = -23 10x = -23 Divide each side by '10'. x = -2.3 Simplifying x = -2.3
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