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Simplifying 5(x + 3) + -2x = 4 + 3(2x + 1) Reorder the terms: 5(3 + x) + -2x = 4 + 3(2x + 1) (3 * 5 + x * 5) + -2x = 4 + 3(2x + 1) (15 + 5x) + -2x = 4 + 3(2x + 1) Combine like terms: 5x + -2x = 3x 15 + 3x = 4 + 3(2x + 1) Reorder the terms: 15 + 3x = 4 + 3(1 + 2x) 15 + 3x = 4 + (1 * 3 + 2x * 3) 15 + 3x = 4 + (3 + 6x) Combine like terms: 4 + 3 = 7 15 + 3x = 7 + 6x Solving 15 + 3x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + 3x + -6x = 7 + 6x + -6x Combine like terms: 3x + -6x = -3x 15 + -3x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -3x = 7 + 0 15 + -3x = 7 Add '-15' to each side of the equation. 15 + -15 + -3x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 7 + -15 -3x = 7 + -15 Combine like terms: 7 + -15 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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