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Simplifying 4(2x + -3) + (2x + -3) + x = 62 Reorder the terms: 4(-3 + 2x) + (2x + -3) + x = 62 (-3 * 4 + 2x * 4) + (2x + -3) + x = 62 (-12 + 8x) + (2x + -3) + x = 62 Reorder the terms: -12 + 8x + (-3 + 2x) + x = 62 Remove parenthesis around (-3 + 2x) -12 + 8x + -3 + 2x + x = 62 Reorder the terms: -12 + -3 + 8x + 2x + x = 62 Combine like terms: -12 + -3 = -15 -15 + 8x + 2x + x = 62 Combine like terms: 8x + 2x = 10x -15 + 10x + x = 62 Combine like terms: 10x + x = 11x -15 + 11x = 62 Solving -15 + 11x = 62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 11x = 62 + 15 Combine like terms: -15 + 15 = 0 0 + 11x = 62 + 15 11x = 62 + 15 Combine like terms: 62 + 15 = 77 11x = 77 Divide each side by '11'. x = 7 Simplifying x = 7
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