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Simplifying -1x + -2 + -3x + 4 = x + -10 + 7x + -28 + -2x Reorder the terms: -2 + 4 + -1x + -3x = x + -10 + 7x + -28 + -2x Combine like terms: -2 + 4 = 2 2 + -1x + -3x = x + -10 + 7x + -28 + -2x Combine like terms: -1x + -3x = -4x 2 + -4x = x + -10 + 7x + -28 + -2x Reorder the terms: 2 + -4x = -10 + -28 + x + 7x + -2x Combine like terms: -10 + -28 = -38 2 + -4x = -38 + x + 7x + -2x Combine like terms: x + 7x = 8x 2 + -4x = -38 + 8x + -2x Combine like terms: 8x + -2x = 6x 2 + -4x = -38 + 6x Solving 2 + -4x = -38 + 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. 2 + -4x + -6x = -38 + 6x + -6x Combine like terms: -4x + -6x = -10x 2 + -10x = -38 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -10x = -38 + 0 2 + -10x = -38 Add '-2' to each side of the equation. 2 + -2 + -10x = -38 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = -38 + -2 -10x = -38 + -2 Combine like terms: -38 + -2 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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