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Simplifying 3[x + 5(x + 3)] + -2x = 6(x + 1) Reorder the terms: 3[x + 5(3 + x)] + -2x = 6(x + 1) 3[x + (3 * 5 + x * 5)] + -2x = 6(x + 1) 3[x + (15 + 5x)] + -2x = 6(x + 1) Reorder the terms: 3[15 + x + 5x] + -2x = 6(x + 1) Combine like terms: x + 5x = 6x 3[15 + 6x] + -2x = 6(x + 1) [15 * 3 + 6x * 3] + -2x = 6(x + 1) [45 + 18x] + -2x = 6(x + 1) Combine like terms: 18x + -2x = 16x 45 + 16x = 6(x + 1) Reorder the terms: 45 + 16x = 6(1 + x) 45 + 16x = (1 * 6 + x * 6) 45 + 16x = (6 + 6x) Solving 45 + 16x = 6 + 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. 45 + 16x + -6x = 6 + 6x + -6x Combine like terms: 16x + -6x = 10x 45 + 10x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + 10x = 6 + 0 45 + 10x = 6 Add '-45' to each side of the equation. 45 + -45 + 10x = 6 + -45 Combine like terms: 45 + -45 = 0 0 + 10x = 6 + -45 10x = 6 + -45 Combine like terms: 6 + -45 = -39 10x = -39 Divide each side by '10'. x = -3.9 Simplifying x = -3.9
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