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Simplifying 2(3x + -6) + -4 = 2(x + -5) + 30 Reorder the terms: 2(-6 + 3x) + -4 = 2(x + -5) + 30 (-6 * 2 + 3x * 2) + -4 = 2(x + -5) + 30 (-12 + 6x) + -4 = 2(x + -5) + 30 Reorder the terms: -12 + -4 + 6x = 2(x + -5) + 30 Combine like terms: -12 + -4 = -16 -16 + 6x = 2(x + -5) + 30 Reorder the terms: -16 + 6x = 2(-5 + x) + 30 -16 + 6x = (-5 * 2 + x * 2) + 30 -16 + 6x = (-10 + 2x) + 30 Reorder the terms: -16 + 6x = -10 + 30 + 2x Combine like terms: -10 + 30 = 20 -16 + 6x = 20 + 2x Solving -16 + 6x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -16 + 6x + -2x = 20 + 2x + -2x Combine like terms: 6x + -2x = 4x -16 + 4x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 4x = 20 + 0 -16 + 4x = 20 Add '16' to each side of the equation. -16 + 16 + 4x = 20 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 20 + 16 4x = 20 + 16 Combine like terms: 20 + 16 = 36 4x = 36 Divide each side by '4'. x = 9 Simplifying x = 9
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