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Simplifying 3(x + -2) + 5 = 2(3x + -5) * 3 Reorder the terms: 3(-2 + x) + 5 = 2(3x + -5) * 3 (-2 * 3 + x * 3) + 5 = 2(3x + -5) * 3 (-6 + 3x) + 5 = 2(3x + -5) * 3 Reorder the terms: -6 + 5 + 3x = 2(3x + -5) * 3 Combine like terms: -6 + 5 = -1 -1 + 3x = 2(3x + -5) * 3 Reorder the terms: -1 + 3x = 2(-5 + 3x) * 3 Reorder the terms for easier multiplication: -1 + 3x = 2 * 3(-5 + 3x) Multiply 2 * 3 -1 + 3x = 6(-5 + 3x) -1 + 3x = (-5 * 6 + 3x * 6) -1 + 3x = (-30 + 18x) Solving -1 + 3x = -30 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -1 + 3x + -18x = -30 + 18x + -18x Combine like terms: 3x + -18x = -15x -1 + -15x = -30 + 18x + -18x Combine like terms: 18x + -18x = 0 -1 + -15x = -30 + 0 -1 + -15x = -30 Add '1' to each side of the equation. -1 + 1 + -15x = -30 + 1 Combine like terms: -1 + 1 = 0 0 + -15x = -30 + 1 -15x = -30 + 1 Combine like terms: -30 + 1 = -29 -15x = -29 Divide each side by '-15'. x = 1.933333333 Simplifying x = 1.933333333
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