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Simplifying 5(3x + -4) + 2x + 7 = 9x + -4 Reorder the terms: 5(-4 + 3x) + 2x + 7 = 9x + -4 (-4 * 5 + 3x * 5) + 2x + 7 = 9x + -4 (-20 + 15x) + 2x + 7 = 9x + -4 Reorder the terms: -20 + 7 + 15x + 2x = 9x + -4 Combine like terms: -20 + 7 = -13 -13 + 15x + 2x = 9x + -4 Combine like terms: 15x + 2x = 17x -13 + 17x = 9x + -4 Reorder the terms: -13 + 17x = -4 + 9x Solving -13 + 17x = -4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -13 + 17x + -9x = -4 + 9x + -9x Combine like terms: 17x + -9x = 8x -13 + 8x = -4 + 9x + -9x Combine like terms: 9x + -9x = 0 -13 + 8x = -4 + 0 -13 + 8x = -4 Add '13' to each side of the equation. -13 + 13 + 8x = -4 + 13 Combine like terms: -13 + 13 = 0 0 + 8x = -4 + 13 8x = -4 + 13 Combine like terms: -4 + 13 = 9 8x = 9 Divide each side by '8'. x = 1.125 Simplifying x = 1.125
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