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Simplifying 4(x + -7) = 3(2x + 1) + -5 Reorder the terms: 4(-7 + x) = 3(2x + 1) + -5 (-7 * 4 + x * 4) = 3(2x + 1) + -5 (-28 + 4x) = 3(2x + 1) + -5 Reorder the terms: -28 + 4x = 3(1 + 2x) + -5 -28 + 4x = (1 * 3 + 2x * 3) + -5 -28 + 4x = (3 + 6x) + -5 Reorder the terms: -28 + 4x = 3 + -5 + 6x Combine like terms: 3 + -5 = -2 -28 + 4x = -2 + 6x Solving -28 + 4x = -2 + 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. -28 + 4x + -6x = -2 + 6x + -6x Combine like terms: 4x + -6x = -2x -28 + -2x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + -2x = -2 + 0 -28 + -2x = -2 Add '28' to each side of the equation. -28 + 28 + -2x = -2 + 28 Combine like terms: -28 + 28 = 0 0 + -2x = -2 + 28 -2x = -2 + 28 Combine like terms: -2 + 28 = 26 -2x = 26 Divide each side by '-2'. x = -13 Simplifying x = -13
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