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Simplifying 5(6x + 3) + (4x + -3) = 6(6x + 5) Reorder the terms: 5(3 + 6x) + (4x + -3) = 6(6x + 5) (3 * 5 + 6x * 5) + (4x + -3) = 6(6x + 5) (15 + 30x) + (4x + -3) = 6(6x + 5) Reorder the terms: 15 + 30x + (-3 + 4x) = 6(6x + 5) Remove parenthesis around (-3 + 4x) 15 + 30x + -3 + 4x = 6(6x + 5) Reorder the terms: 15 + -3 + 30x + 4x = 6(6x + 5) Combine like terms: 15 + -3 = 12 12 + 30x + 4x = 6(6x + 5) Combine like terms: 30x + 4x = 34x 12 + 34x = 6(6x + 5) Reorder the terms: 12 + 34x = 6(5 + 6x) 12 + 34x = (5 * 6 + 6x * 6) 12 + 34x = (30 + 36x) Solving 12 + 34x = 30 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 12 + 34x + -36x = 30 + 36x + -36x Combine like terms: 34x + -36x = -2x 12 + -2x = 30 + 36x + -36x Combine like terms: 36x + -36x = 0 12 + -2x = 30 + 0 12 + -2x = 30 Add '-12' to each side of the equation. 12 + -12 + -2x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 30 + -12 -2x = 30 + -12 Combine like terms: 30 + -12 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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