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Simplifying 7 + -9x = 5 + -4(3 + -2x) + 7x 7 + -9x = 5 + (3 * -4 + -2x * -4) + 7x 7 + -9x = 5 + (-12 + 8x) + 7x Combine like terms: 5 + -12 = -7 7 + -9x = -7 + 8x + 7x Combine like terms: 8x + 7x = 15x 7 + -9x = -7 + 15x Solving 7 + -9x = -7 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 7 + -9x + -15x = -7 + 15x + -15x Combine like terms: -9x + -15x = -24x 7 + -24x = -7 + 15x + -15x Combine like terms: 15x + -15x = 0 7 + -24x = -7 + 0 7 + -24x = -7 Add '-7' to each side of the equation. 7 + -7 + -24x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -24x = -7 + -7 -24x = -7 + -7 Combine like terms: -7 + -7 = -14 -24x = -14 Divide each side by '-24'. x = 0.5833333333 Simplifying x = 0.5833333333
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