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Simplifying 2(3x + -6) + -3 = 2(x + -5) + 11 Reorder the terms: 2(-6 + 3x) + -3 = 2(x + -5) + 11 (-6 * 2 + 3x * 2) + -3 = 2(x + -5) + 11 (-12 + 6x) + -3 = 2(x + -5) + 11 Reorder the terms: -12 + -3 + 6x = 2(x + -5) + 11 Combine like terms: -12 + -3 = -15 -15 + 6x = 2(x + -5) + 11 Reorder the terms: -15 + 6x = 2(-5 + x) + 11 -15 + 6x = (-5 * 2 + x * 2) + 11 -15 + 6x = (-10 + 2x) + 11 Reorder the terms: -15 + 6x = -10 + 11 + 2x Combine like terms: -10 + 11 = 1 -15 + 6x = 1 + 2x Solving -15 + 6x = 1 + 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. -15 + 6x + -2x = 1 + 2x + -2x Combine like terms: 6x + -2x = 4x -15 + 4x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -15 + 4x = 1 + 0 -15 + 4x = 1 Add '15' to each side of the equation. -15 + 15 + 4x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 1 + 15 4x = 1 + 15 Combine like terms: 1 + 15 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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