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Simplifying 4(x + -3) + 1 = 6(x + -2) + -5 Reorder the terms: 4(-3 + x) + 1 = 6(x + -2) + -5 (-3 * 4 + x * 4) + 1 = 6(x + -2) + -5 (-12 + 4x) + 1 = 6(x + -2) + -5 Reorder the terms: -12 + 1 + 4x = 6(x + -2) + -5 Combine like terms: -12 + 1 = -11 -11 + 4x = 6(x + -2) + -5 Reorder the terms: -11 + 4x = 6(-2 + x) + -5 -11 + 4x = (-2 * 6 + x * 6) + -5 -11 + 4x = (-12 + 6x) + -5 Reorder the terms: -11 + 4x = -12 + -5 + 6x Combine like terms: -12 + -5 = -17 -11 + 4x = -17 + 6x Solving -11 + 4x = -17 + 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. -11 + 4x + -6x = -17 + 6x + -6x Combine like terms: 4x + -6x = -2x -11 + -2x = -17 + 6x + -6x Combine like terms: 6x + -6x = 0 -11 + -2x = -17 + 0 -11 + -2x = -17 Add '11' to each side of the equation. -11 + 11 + -2x = -17 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = -17 + 11 -2x = -17 + 11 Combine like terms: -17 + 11 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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