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Simplifying 5(x + 3) = 2 + -4(2x + 3) Reorder the terms: 5(3 + x) = 2 + -4(2x + 3) (3 * 5 + x * 5) = 2 + -4(2x + 3) (15 + 5x) = 2 + -4(2x + 3) Reorder the terms: 15 + 5x = 2 + -4(3 + 2x) 15 + 5x = 2 + (3 * -4 + 2x * -4) 15 + 5x = 2 + (-12 + -8x) Combine like terms: 2 + -12 = -10 15 + 5x = -10 + -8x Solving 15 + 5x = -10 + -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. 15 + 5x + 8x = -10 + -8x + 8x Combine like terms: 5x + 8x = 13x 15 + 13x = -10 + -8x + 8x Combine like terms: -8x + 8x = 0 15 + 13x = -10 + 0 15 + 13x = -10 Add '-15' to each side of the equation. 15 + -15 + 13x = -10 + -15 Combine like terms: 15 + -15 = 0 0 + 13x = -10 + -15 13x = -10 + -15 Combine like terms: -10 + -15 = -25 13x = -25 Divide each side by '13'. x = -1.923076923 Simplifying x = -1.923076923
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