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Simplifying -2(4 + -3x) + 7 = 2x + 6x + 8x (4 * -2 + -3x * -2) + 7 = 2x + 6x + 8x (-8 + 6x) + 7 = 2x + 6x + 8x Reorder the terms: -8 + 7 + 6x = 2x + 6x + 8x Combine like terms: -8 + 7 = -1 -1 + 6x = 2x + 6x + 8x Combine like terms: 2x + 6x = 8x -1 + 6x = 8x + 8x Combine like terms: 8x + 8x = 16x -1 + 6x = 16x Solving -1 + 6x = 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -1 + 6x + -16x = 16x + -16x Combine like terms: 6x + -16x = -10x -1 + -10x = 16x + -16x Combine like terms: 16x + -16x = 0 -1 + -10x = 0 Add '1' to each side of the equation. -1 + 1 + -10x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -10x = 0 + 1 -10x = 0 + 1 Combine like terms: 0 + 1 = 1 -10x = 1 Divide each side by '-10'. x = -0.1 Simplifying x = -0.1
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