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Simplifying 4x + -7 = 6(x + -4) + 5 Reorder the terms: -7 + 4x = 6(x + -4) + 5 Reorder the terms: -7 + 4x = 6(-4 + x) + 5 -7 + 4x = (-4 * 6 + x * 6) + 5 -7 + 4x = (-24 + 6x) + 5 Reorder the terms: -7 + 4x = -24 + 5 + 6x Combine like terms: -24 + 5 = -19 -7 + 4x = -19 + 6x Solving -7 + 4x = -19 + 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. -7 + 4x + -6x = -19 + 6x + -6x Combine like terms: 4x + -6x = -2x -7 + -2x = -19 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -2x = -19 + 0 -7 + -2x = -19 Add '7' to each side of the equation. -7 + 7 + -2x = -19 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -19 + 7 -2x = -19 + 7 Combine like terms: -19 + 7 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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