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Simplifying 1 + -6(x + 2) = 2x + -2(4 + -1x) + -7 Reorder the terms: 1 + -6(2 + x) = 2x + -2(4 + -1x) + -7 1 + (2 * -6 + x * -6) = 2x + -2(4 + -1x) + -7 1 + (-12 + -6x) = 2x + -2(4 + -1x) + -7 Combine like terms: 1 + -12 = -11 -11 + -6x = 2x + -2(4 + -1x) + -7 -11 + -6x = 2x + (4 * -2 + -1x * -2) + -7 -11 + -6x = 2x + (-8 + 2x) + -7 Reorder the terms: -11 + -6x = -8 + -7 + 2x + 2x Combine like terms: -8 + -7 = -15 -11 + -6x = -15 + 2x + 2x Combine like terms: 2x + 2x = 4x -11 + -6x = -15 + 4x Solving -11 + -6x = -15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -11 + -6x + -4x = -15 + 4x + -4x Combine like terms: -6x + -4x = -10x -11 + -10x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + -10x = -15 + 0 -11 + -10x = -15 Add '11' to each side of the equation. -11 + 11 + -10x = -15 + 11 Combine like terms: -11 + 11 = 0 0 + -10x = -15 + 11 -10x = -15 + 11 Combine like terms: -15 + 11 = -4 -10x = -4 Divide each side by '-10'. x = 0.4 Simplifying x = 0.4
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