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Simplifying 2(3x + -5) + -3 = 2(x + -3) + 13 Reorder the terms: 2(-5 + 3x) + -3 = 2(x + -3) + 13 (-5 * 2 + 3x * 2) + -3 = 2(x + -3) + 13 (-10 + 6x) + -3 = 2(x + -3) + 13 Reorder the terms: -10 + -3 + 6x = 2(x + -3) + 13 Combine like terms: -10 + -3 = -13 -13 + 6x = 2(x + -3) + 13 Reorder the terms: -13 + 6x = 2(-3 + x) + 13 -13 + 6x = (-3 * 2 + x * 2) + 13 -13 + 6x = (-6 + 2x) + 13 Reorder the terms: -13 + 6x = -6 + 13 + 2x Combine like terms: -6 + 13 = 7 -13 + 6x = 7 + 2x Solving -13 + 6x = 7 + 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. -13 + 6x + -2x = 7 + 2x + -2x Combine like terms: 6x + -2x = 4x -13 + 4x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 4x = 7 + 0 -13 + 4x = 7 Add '13' to each side of the equation. -13 + 13 + 4x = 7 + 13 Combine like terms: -13 + 13 = 0 0 + 4x = 7 + 13 4x = 7 + 13 Combine like terms: 7 + 13 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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