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Simplifying x + -3 + 3(x + 5) = 4(2x + -7) Reorder the terms: x + -3 + 3(5 + x) = 4(2x + -7) x + -3 + (5 * 3 + x * 3) = 4(2x + -7) x + -3 + (15 + 3x) = 4(2x + -7) Reorder the terms: -3 + 15 + x + 3x = 4(2x + -7) Combine like terms: -3 + 15 = 12 12 + x + 3x = 4(2x + -7) Combine like terms: x + 3x = 4x 12 + 4x = 4(2x + -7) Reorder the terms: 12 + 4x = 4(-7 + 2x) 12 + 4x = (-7 * 4 + 2x * 4) 12 + 4x = (-28 + 8x) Solving 12 + 4x = -28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 4x + -8x = -28 + 8x + -8x Combine like terms: 4x + -8x = -4x 12 + -4x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -4x = -28 + 0 12 + -4x = -28 Add '-12' to each side of the equation. 12 + -12 + -4x = -28 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -28 + -12 -4x = -28 + -12 Combine like terms: -28 + -12 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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