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Simplifying 2(3x + -3) + -3 = 2(x + -5) + 29 Reorder the terms: 2(-3 + 3x) + -3 = 2(x + -5) + 29 (-3 * 2 + 3x * 2) + -3 = 2(x + -5) + 29 (-6 + 6x) + -3 = 2(x + -5) + 29 Reorder the terms: -6 + -3 + 6x = 2(x + -5) + 29 Combine like terms: -6 + -3 = -9 -9 + 6x = 2(x + -5) + 29 Reorder the terms: -9 + 6x = 2(-5 + x) + 29 -9 + 6x = (-5 * 2 + x * 2) + 29 -9 + 6x = (-10 + 2x) + 29 Reorder the terms: -9 + 6x = -10 + 29 + 2x Combine like terms: -10 + 29 = 19 -9 + 6x = 19 + 2x Solving -9 + 6x = 19 + 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 = 19 + 2x + -2x Combine like terms: 6x + -2x = 4x -9 + 4x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 4x = 19 + 0 -9 + 4x = 19 Add '9' to each side of the equation. -9 + 9 + 4x = 19 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 19 + 9 4x = 19 + 9 Combine like terms: 19 + 9 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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