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Simplifying -5(x + -3) + 7x = 6x + -4 Reorder the terms: -5(-3 + x) + 7x = 6x + -4 (-3 * -5 + x * -5) + 7x = 6x + -4 (15 + -5x) + 7x = 6x + -4 Combine like terms: -5x + 7x = 2x 15 + 2x = 6x + -4 Reorder the terms: 15 + 2x = -4 + 6x Solving 15 + 2x = -4 + 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. 15 + 2x + -6x = -4 + 6x + -6x Combine like terms: 2x + -6x = -4x 15 + -4x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -4x = -4 + 0 15 + -4x = -4 Add '-15' to each side of the equation. 15 + -15 + -4x = -4 + -15 Combine like terms: 15 + -15 = 0 0 + -4x = -4 + -15 -4x = -4 + -15 Combine like terms: -4 + -15 = -19 -4x = -19 Divide each side by '-4'. x = 4.75 Simplifying x = 4.75
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