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Simplifying 2(x + -3) + 7 = -4(x + 1) + 3 Reorder the terms: 2(-3 + x) + 7 = -4(x + 1) + 3 (-3 * 2 + x * 2) + 7 = -4(x + 1) + 3 (-6 + 2x) + 7 = -4(x + 1) + 3 Reorder the terms: -6 + 7 + 2x = -4(x + 1) + 3 Combine like terms: -6 + 7 = 1 1 + 2x = -4(x + 1) + 3 Reorder the terms: 1 + 2x = -4(1 + x) + 3 1 + 2x = (1 * -4 + x * -4) + 3 1 + 2x = (-4 + -4x) + 3 Reorder the terms: 1 + 2x = -4 + 3 + -4x Combine like terms: -4 + 3 = -1 1 + 2x = -1 + -4x Solving 1 + 2x = -1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + 2x + 4x = -1 + -4x + 4x Combine like terms: 2x + 4x = 6x 1 + 6x = -1 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 6x = -1 + 0 1 + 6x = -1 Add '-1' to each side of the equation. 1 + -1 + 6x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = -1 + -1 6x = -1 + -1 Combine like terms: -1 + -1 = -2 6x = -2 Divide each side by '6'. x = -0.3333333333 Simplifying x = -0.3333333333
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