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Simplifying -2 + -5[7 + 3(x + -2)] + 4x = 2(5x + 7) + -18 Reorder the terms: -2 + -5[7 + 3(-2 + x)] + 4x = 2(5x + 7) + -18 -2 + -5[7 + (-2 * 3 + x * 3)] + 4x = 2(5x + 7) + -18 -2 + -5[7 + (-6 + 3x)] + 4x = 2(5x + 7) + -18 Combine like terms: 7 + -6 = 1 -2 + -5[1 + 3x] + 4x = 2(5x + 7) + -18 -2 + [1 * -5 + 3x * -5] + 4x = 2(5x + 7) + -18 -2 + [-5 + -15x] + 4x = 2(5x + 7) + -18 Combine like terms: -2 + -5 = -7 -7 + -15x + 4x = 2(5x + 7) + -18 Combine like terms: -15x + 4x = -11x -7 + -11x = 2(5x + 7) + -18 Reorder the terms: -7 + -11x = 2(7 + 5x) + -18 -7 + -11x = (7 * 2 + 5x * 2) + -18 -7 + -11x = (14 + 10x) + -18 Reorder the terms: -7 + -11x = 14 + -18 + 10x Combine like terms: 14 + -18 = -4 -7 + -11x = -4 + 10x Solving -7 + -11x = -4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -7 + -11x + -10x = -4 + 10x + -10x Combine like terms: -11x + -10x = -21x -7 + -21x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 -7 + -21x = -4 + 0 -7 + -21x = -4 Add '7' to each side of the equation. -7 + 7 + -21x = -4 + 7 Combine like terms: -7 + 7 = 0 0 + -21x = -4 + 7 -21x = -4 + 7 Combine like terms: -4 + 7 = 3 -21x = 3 Divide each side by '-21'. x = -0.1428571429 Simplifying x = -0.1428571429
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