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Simplifying 3(x + 5) + -2x + -4 = 4x + 7 Reorder the terms: 3(5 + x) + -2x + -4 = 4x + 7 (5 * 3 + x * 3) + -2x + -4 = 4x + 7 (15 + 3x) + -2x + -4 = 4x + 7 Reorder the terms: 15 + -4 + 3x + -2x = 4x + 7 Combine like terms: 15 + -4 = 11 11 + 3x + -2x = 4x + 7 Combine like terms: 3x + -2x = 1x 11 + 1x = 4x + 7 Reorder the terms: 11 + 1x = 7 + 4x Solving 11 + 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. 11 + 1x + -4x = 7 + 4x + -4x Combine like terms: 1x + -4x = -3x 11 + -3x = 7 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + -3x = 7 + 0 11 + -3x = 7 Add '-11' to each side of the equation. 11 + -11 + -3x = 7 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = 7 + -11 -3x = 7 + -11 Combine like terms: 7 + -11 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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