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Simplifying 5 + 3[1 + 2(2x + -3)] + 1 = 2x + -3 Reorder the terms: 5 + 3[1 + 2(-3 + 2x)] + 1 = 2x + -3 5 + 3[1 + (-3 * 2 + 2x * 2)] + 1 = 2x + -3 5 + 3[1 + (-6 + 4x)] + 1 = 2x + -3 Combine like terms: 1 + -6 = -5 5 + 3[-5 + 4x] + 1 = 2x + -3 5 + [-5 * 3 + 4x * 3] + 1 = 2x + -3 5 + [-15 + 12x] + 1 = 2x + -3 Reorder the terms: 5 + -15 + 1 + 12x = 2x + -3 Combine like terms: 5 + -15 = -10 -10 + 1 + 12x = 2x + -3 Combine like terms: -10 + 1 = -9 -9 + 12x = 2x + -3 Reorder the terms: -9 + 12x = -3 + 2x Solving -9 + 12x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 12x + -2x = -3 + 2x + -2x Combine like terms: 12x + -2x = 10x -9 + 10x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 10x = -3 + 0 -9 + 10x = -3 Add '9' to each side of the equation. -9 + 9 + 10x = -3 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = -3 + 9 10x = -3 + 9 Combine like terms: -3 + 9 = 6 10x = 6 Divide each side by '10'. x = 0.6 Simplifying x = 0.6
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