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Simplifying 4(2x + -7) = 4(x + -3) + 13 Reorder the terms: 4(-7 + 2x) = 4(x + -3) + 13 (-7 * 4 + 2x * 4) = 4(x + -3) + 13 (-28 + 8x) = 4(x + -3) + 13 Reorder the terms: -28 + 8x = 4(-3 + x) + 13 -28 + 8x = (-3 * 4 + x * 4) + 13 -28 + 8x = (-12 + 4x) + 13 Reorder the terms: -28 + 8x = -12 + 13 + 4x Combine like terms: -12 + 13 = 1 -28 + 8x = 1 + 4x Solving -28 + 8x = 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. -28 + 8x + -4x = 1 + 4x + -4x Combine like terms: 8x + -4x = 4x -28 + 4x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + 4x = 1 + 0 -28 + 4x = 1 Add '28' to each side of the equation. -28 + 28 + 4x = 1 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = 1 + 28 4x = 1 + 28 Combine like terms: 1 + 28 = 29 4x = 29 Divide each side by '4'. x = 7.25 Simplifying x = 7.25
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