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Simplifying 4(x + 5) + -7 = 6(x + -2) Reorder the terms: 4(5 + x) + -7 = 6(x + -2) (5 * 4 + x * 4) + -7 = 6(x + -2) (20 + 4x) + -7 = 6(x + -2) Reorder the terms: 20 + -7 + 4x = 6(x + -2) Combine like terms: 20 + -7 = 13 13 + 4x = 6(x + -2) Reorder the terms: 13 + 4x = 6(-2 + x) 13 + 4x = (-2 * 6 + x * 6) 13 + 4x = (-12 + 6x) Solving 13 + 4x = -12 + 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. 13 + 4x + -6x = -12 + 6x + -6x Combine like terms: 4x + -6x = -2x 13 + -2x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -2x = -12 + 0 13 + -2x = -12 Add '-13' to each side of the equation. 13 + -13 + -2x = -12 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = -12 + -13 -2x = -12 + -13 Combine like terms: -12 + -13 = -25 -2x = -25 Divide each side by '-2'. x = 12.5 Simplifying x = 12.5
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