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Simplifying 6(4x + -8) + -7 = 6(x + -3) + 89 Reorder the terms: 6(-8 + 4x) + -7 = 6(x + -3) + 89 (-8 * 6 + 4x * 6) + -7 = 6(x + -3) + 89 (-48 + 24x) + -7 = 6(x + -3) + 89 Reorder the terms: -48 + -7 + 24x = 6(x + -3) + 89 Combine like terms: -48 + -7 = -55 -55 + 24x = 6(x + -3) + 89 Reorder the terms: -55 + 24x = 6(-3 + x) + 89 -55 + 24x = (-3 * 6 + x * 6) + 89 -55 + 24x = (-18 + 6x) + 89 Reorder the terms: -55 + 24x = -18 + 89 + 6x Combine like terms: -18 + 89 = 71 -55 + 24x = 71 + 6x Solving -55 + 24x = 71 + 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. -55 + 24x + -6x = 71 + 6x + -6x Combine like terms: 24x + -6x = 18x -55 + 18x = 71 + 6x + -6x Combine like terms: 6x + -6x = 0 -55 + 18x = 71 + 0 -55 + 18x = 71 Add '55' to each side of the equation. -55 + 55 + 18x = 71 + 55 Combine like terms: -55 + 55 = 0 0 + 18x = 71 + 55 18x = 71 + 55 Combine like terms: 71 + 55 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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