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Simplifying 2(3x + -3) + -3 = 2(x + -4) + 23 Reorder the terms: 2(-3 + 3x) + -3 = 2(x + -4) + 23 (-3 * 2 + 3x * 2) + -3 = 2(x + -4) + 23 (-6 + 6x) + -3 = 2(x + -4) + 23 Reorder the terms: -6 + -3 + 6x = 2(x + -4) + 23 Combine like terms: -6 + -3 = -9 -9 + 6x = 2(x + -4) + 23 Reorder the terms: -9 + 6x = 2(-4 + x) + 23 -9 + 6x = (-4 * 2 + x * 2) + 23 -9 + 6x = (-8 + 2x) + 23 Reorder the terms: -9 + 6x = -8 + 23 + 2x Combine like terms: -8 + 23 = 15 -9 + 6x = 15 + 2x Solving -9 + 6x = 15 + 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. -9 + 6x + -2x = 15 + 2x + -2x Combine like terms: 6x + -2x = 4x -9 + 4x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 4x = 15 + 0 -9 + 4x = 15 Add '9' to each side of the equation. -9 + 9 + 4x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 15 + 9 4x = 15 + 9 Combine like terms: 15 + 9 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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