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Simplifying 7[2 + -3 + 4x] + -2x = -9 + -2(1 + -15x) Combine like terms: 2 + -3 = -1 7[-1 + 4x] + -2x = -9 + -2(1 + -15x) [-1 * 7 + 4x * 7] + -2x = -9 + -2(1 + -15x) [-7 + 28x] + -2x = -9 + -2(1 + -15x) Combine like terms: 28x + -2x = 26x -7 + 26x = -9 + -2(1 + -15x) -7 + 26x = -9 + (1 * -2 + -15x * -2) -7 + 26x = -9 + (-2 + 30x) Combine like terms: -9 + -2 = -11 -7 + 26x = -11 + 30x Solving -7 + 26x = -11 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -7 + 26x + -30x = -11 + 30x + -30x Combine like terms: 26x + -30x = -4x -7 + -4x = -11 + 30x + -30x Combine like terms: 30x + -30x = 0 -7 + -4x = -11 + 0 -7 + -4x = -11 Add '7' to each side of the equation. -7 + 7 + -4x = -11 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -11 + 7 -4x = -11 + 7 Combine like terms: -11 + 7 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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