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Simplifying 6(4x + -7) + -7 = 6(x + -3) + 59 Reorder the terms: 6(-7 + 4x) + -7 = 6(x + -3) + 59 (-7 * 6 + 4x * 6) + -7 = 6(x + -3) + 59 (-42 + 24x) + -7 = 6(x + -3) + 59 Reorder the terms: -42 + -7 + 24x = 6(x + -3) + 59 Combine like terms: -42 + -7 = -49 -49 + 24x = 6(x + -3) + 59 Reorder the terms: -49 + 24x = 6(-3 + x) + 59 -49 + 24x = (-3 * 6 + x * 6) + 59 -49 + 24x = (-18 + 6x) + 59 Reorder the terms: -49 + 24x = -18 + 59 + 6x Combine like terms: -18 + 59 = 41 -49 + 24x = 41 + 6x Solving -49 + 24x = 41 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -49 + 24x + -6x = 41 + 6x + -6x Combine like terms: 24x + -6x = 18x -49 + 18x = 41 + 6x + -6x Combine like terms: 6x + -6x = 0 -49 + 18x = 41 + 0 -49 + 18x = 41 Add '49' to each side of the equation. -49 + 49 + 18x = 41 + 49 Combine like terms: -49 + 49 = 0 0 + 18x = 41 + 49 18x = 41 + 49 Combine like terms: 41 + 49 = 90 18x = 90 Divide each side by '18'. x = 5 Simplifying x = 5
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