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Simplifying 5x + 7 + 3x = 4(x + -3) + -1 Reorder the terms: 7 + 5x + 3x = 4(x + -3) + -1 Combine like terms: 5x + 3x = 8x 7 + 8x = 4(x + -3) + -1 Reorder the terms: 7 + 8x = 4(-3 + x) + -1 7 + 8x = (-3 * 4 + x * 4) + -1 7 + 8x = (-12 + 4x) + -1 Reorder the terms: 7 + 8x = -12 + -1 + 4x Combine like terms: -12 + -1 = -13 7 + 8x = -13 + 4x Solving 7 + 8x = -13 + 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. 7 + 8x + -4x = -13 + 4x + -4x Combine like terms: 8x + -4x = 4x 7 + 4x = -13 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 4x = -13 + 0 7 + 4x = -13 Add '-7' to each side of the equation. 7 + -7 + 4x = -13 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = -13 + -7 4x = -13 + -7 Combine like terms: -13 + -7 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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