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Simplifying 2(x + -3) + 7 = 4(x + 1) + 11 Reorder the terms: 2(-3 + x) + 7 = 4(x + 1) + 11 (-3 * 2 + x * 2) + 7 = 4(x + 1) + 11 (-6 + 2x) + 7 = 4(x + 1) + 11 Reorder the terms: -6 + 7 + 2x = 4(x + 1) + 11 Combine like terms: -6 + 7 = 1 1 + 2x = 4(x + 1) + 11 Reorder the terms: 1 + 2x = 4(1 + x) + 11 1 + 2x = (1 * 4 + x * 4) + 11 1 + 2x = (4 + 4x) + 11 Reorder the terms: 1 + 2x = 4 + 11 + 4x Combine like terms: 4 + 11 = 15 1 + 2x = 15 + 4x Solving 1 + 2x = 15 + 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 = 15 + 4x + -4x Combine like terms: 2x + -4x = -2x 1 + -2x = 15 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -2x = 15 + 0 1 + -2x = 15 Add '-1' to each side of the equation. 1 + -1 + -2x = 15 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 15 + -1 -2x = 15 + -1 Combine like terms: 15 + -1 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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