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Simplifying 6(4x + -7) + -8 = 6(x + -4) + 100 Reorder the terms: 6(-7 + 4x) + -8 = 6(x + -4) + 100 (-7 * 6 + 4x * 6) + -8 = 6(x + -4) + 100 (-42 + 24x) + -8 = 6(x + -4) + 100 Reorder the terms: -42 + -8 + 24x = 6(x + -4) + 100 Combine like terms: -42 + -8 = -50 -50 + 24x = 6(x + -4) + 100 Reorder the terms: -50 + 24x = 6(-4 + x) + 100 -50 + 24x = (-4 * 6 + x * 6) + 100 -50 + 24x = (-24 + 6x) + 100 Reorder the terms: -50 + 24x = -24 + 100 + 6x Combine like terms: -24 + 100 = 76 -50 + 24x = 76 + 6x Solving -50 + 24x = 76 + 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. -50 + 24x + -6x = 76 + 6x + -6x Combine like terms: 24x + -6x = 18x -50 + 18x = 76 + 6x + -6x Combine like terms: 6x + -6x = 0 -50 + 18x = 76 + 0 -50 + 18x = 76 Add '50' to each side of the equation. -50 + 50 + 18x = 76 + 50 Combine like terms: -50 + 50 = 0 0 + 18x = 76 + 50 18x = 76 + 50 Combine like terms: 76 + 50 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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