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Simplifying 4x + -3(20 + -1x) = 6x + -7(11 + x) + 11 4x + (20 * -3 + -1x * -3) = 6x + -7(11 + x) + 11 4x + (-60 + 3x) = 6x + -7(11 + x) + 11 Reorder the terms: -60 + 4x + 3x = 6x + -7(11 + x) + 11 Combine like terms: 4x + 3x = 7x -60 + 7x = 6x + -7(11 + x) + 11 -60 + 7x = 6x + (11 * -7 + x * -7) + 11 -60 + 7x = 6x + (-77 + -7x) + 11 Reorder the terms: -60 + 7x = -77 + 11 + 6x + -7x Combine like terms: -77 + 11 = -66 -60 + 7x = -66 + 6x + -7x Combine like terms: 6x + -7x = -1x -60 + 7x = -66 + -1x Solving -60 + 7x = -66 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -60 + 7x + x = -66 + -1x + x Combine like terms: 7x + x = 8x -60 + 8x = -66 + -1x + x Combine like terms: -1x + x = 0 -60 + 8x = -66 + 0 -60 + 8x = -66 Add '60' to each side of the equation. -60 + 60 + 8x = -66 + 60 Combine like terms: -60 + 60 = 0 0 + 8x = -66 + 60 8x = -66 + 60 Combine like terms: -66 + 60 = -6 8x = -6 Divide each side by '8'. x = -0.75 Simplifying x = -0.75
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