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Simplifying 7x + -3x + 7 = 3(x + 1) + -9x Reorder the terms: 7 + 7x + -3x = 3(x + 1) + -9x Combine like terms: 7x + -3x = 4x 7 + 4x = 3(x + 1) + -9x Reorder the terms: 7 + 4x = 3(1 + x) + -9x 7 + 4x = (1 * 3 + x * 3) + -9x 7 + 4x = (3 + 3x) + -9x Combine like terms: 3x + -9x = -6x 7 + 4x = 3 + -6x Solving 7 + 4x = 3 + -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. 7 + 4x + 6x = 3 + -6x + 6x Combine like terms: 4x + 6x = 10x 7 + 10x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 10x = 3 + 0 7 + 10x = 3 Add '-7' to each side of the equation. 7 + -7 + 10x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 10x = 3 + -7 10x = 3 + -7 Combine like terms: 3 + -7 = -4 10x = -4 Divide each side by '10'. x = -0.4 Simplifying x = -0.4
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