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Simplifying 20 + -1(x + -8) + 3x = 6(x + -3) + 66 Reorder the terms: 20 + -1(-8 + x) + 3x = 6(x + -3) + 66 20 + (-8 * -1 + x * -1) + 3x = 6(x + -3) + 66 20 + (8 + -1x) + 3x = 6(x + -3) + 66 Combine like terms: 20 + 8 = 28 28 + -1x + 3x = 6(x + -3) + 66 Combine like terms: -1x + 3x = 2x 28 + 2x = 6(x + -3) + 66 Reorder the terms: 28 + 2x = 6(-3 + x) + 66 28 + 2x = (-3 * 6 + x * 6) + 66 28 + 2x = (-18 + 6x) + 66 Reorder the terms: 28 + 2x = -18 + 66 + 6x Combine like terms: -18 + 66 = 48 28 + 2x = 48 + 6x Solving 28 + 2x = 48 + 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. 28 + 2x + -6x = 48 + 6x + -6x Combine like terms: 2x + -6x = -4x 28 + -4x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + -4x = 48 + 0 28 + -4x = 48 Add '-28' to each side of the equation. 28 + -28 + -4x = 48 + -28 Combine like terms: 28 + -28 = 0 0 + -4x = 48 + -28 -4x = 48 + -28 Combine like terms: 48 + -28 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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