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Simplifying 5(3x + -4) + -3 = 6x + 7 Reorder the terms: 5(-4 + 3x) + -3 = 6x + 7 (-4 * 5 + 3x * 5) + -3 = 6x + 7 (-20 + 15x) + -3 = 6x + 7 Reorder the terms: -20 + -3 + 15x = 6x + 7 Combine like terms: -20 + -3 = -23 -23 + 15x = 6x + 7 Reorder the terms: -23 + 15x = 7 + 6x Solving -23 + 15x = 7 + 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. -23 + 15x + -6x = 7 + 6x + -6x Combine like terms: 15x + -6x = 9x -23 + 9x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -23 + 9x = 7 + 0 -23 + 9x = 7 Add '23' to each side of the equation. -23 + 23 + 9x = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 9x = 7 + 23 9x = 7 + 23 Combine like terms: 7 + 23 = 30 9x = 30 Divide each side by '9'. x = 3.333333333 Simplifying x = 3.333333333
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