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Simplifying 6[x + -2(2x + 3) + 1] + 3(5 + 6x) + x = 0 Reorder the terms: 6[x + -2(3 + 2x) + 1] + 3(5 + 6x) + x = 0 6[x + (3 * -2 + 2x * -2) + 1] + 3(5 + 6x) + x = 0 6[x + (-6 + -4x) + 1] + 3(5 + 6x) + x = 0 Reorder the terms: 6[-6 + 1 + x + -4x] + 3(5 + 6x) + x = 0 Combine like terms: -6 + 1 = -5 6[-5 + x + -4x] + 3(5 + 6x) + x = 0 Combine like terms: x + -4x = -3x 6[-5 + -3x] + 3(5 + 6x) + x = 0 [-5 * 6 + -3x * 6] + 3(5 + 6x) + x = 0 [-30 + -18x] + 3(5 + 6x) + x = 0 -30 + -18x + (5 * 3 + 6x * 3) + x = 0 -30 + -18x + (15 + 18x) + x = 0 Reorder the terms: -30 + 15 + -18x + 18x + x = 0 Combine like terms: -30 + 15 = -15 -15 + -18x + 18x + x = 0 Combine like terms: -18x + 18x = 0 -15 + 0 + x = 0 -15 + x = 0 Solving -15 + x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Simplifying x = 15
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