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Simplifying 3(2x + 7) + -5(x + 4) = 4x + -7 Reorder the terms: 3(7 + 2x) + -5(x + 4) = 4x + -7 (7 * 3 + 2x * 3) + -5(x + 4) = 4x + -7 (21 + 6x) + -5(x + 4) = 4x + -7 Reorder the terms: 21 + 6x + -5(4 + x) = 4x + -7 21 + 6x + (4 * -5 + x * -5) = 4x + -7 21 + 6x + (-20 + -5x) = 4x + -7 Reorder the terms: 21 + -20 + 6x + -5x = 4x + -7 Combine like terms: 21 + -20 = 1 1 + 6x + -5x = 4x + -7 Combine like terms: 6x + -5x = 1x 1 + 1x = 4x + -7 Reorder the terms: 1 + 1x = -7 + 4x Solving 1 + 1x = -7 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 1x + -4x = -7 + 4x + -4x Combine like terms: 1x + -4x = -3x 1 + -3x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -3x = -7 + 0 1 + -3x = -7 Add '-1' to each side of the equation. 1 + -1 + -3x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -7 + -1 -3x = -7 + -1 Combine like terms: -7 + -1 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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