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Simplifying 5 + 3(x + -4) = 3x + -15 + 2(3x + -17) Reorder the terms: 5 + 3(-4 + x) = 3x + -15 + 2(3x + -17) 5 + (-4 * 3 + x * 3) = 3x + -15 + 2(3x + -17) 5 + (-12 + 3x) = 3x + -15 + 2(3x + -17) Combine like terms: 5 + -12 = -7 -7 + 3x = 3x + -15 + 2(3x + -17) Reorder the terms: -7 + 3x = 3x + -15 + 2(-17 + 3x) -7 + 3x = 3x + -15 + (-17 * 2 + 3x * 2) -7 + 3x = 3x + -15 + (-34 + 6x) Reorder the terms: -7 + 3x = -15 + -34 + 3x + 6x Combine like terms: -15 + -34 = -49 -7 + 3x = -49 + 3x + 6x Combine like terms: 3x + 6x = 9x -7 + 3x = -49 + 9x Solving -7 + 3x = -49 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -7 + 3x + -9x = -49 + 9x + -9x Combine like terms: 3x + -9x = -6x -7 + -6x = -49 + 9x + -9x Combine like terms: 9x + -9x = 0 -7 + -6x = -49 + 0 -7 + -6x = -49 Add '7' to each side of the equation. -7 + 7 + -6x = -49 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = -49 + 7 -6x = -49 + 7 Combine like terms: -49 + 7 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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