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Simplifying 7(x + -6) + 4x + -6 = 4(x + -8) + 15x Reorder the terms: 7(-6 + x) + 4x + -6 = 4(x + -8) + 15x (-6 * 7 + x * 7) + 4x + -6 = 4(x + -8) + 15x (-42 + 7x) + 4x + -6 = 4(x + -8) + 15x Reorder the terms: -42 + -6 + 7x + 4x = 4(x + -8) + 15x Combine like terms: -42 + -6 = -48 -48 + 7x + 4x = 4(x + -8) + 15x Combine like terms: 7x + 4x = 11x -48 + 11x = 4(x + -8) + 15x Reorder the terms: -48 + 11x = 4(-8 + x) + 15x -48 + 11x = (-8 * 4 + x * 4) + 15x -48 + 11x = (-32 + 4x) + 15x Combine like terms: 4x + 15x = 19x -48 + 11x = -32 + 19x Solving -48 + 11x = -32 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -48 + 11x + -19x = -32 + 19x + -19x Combine like terms: 11x + -19x = -8x -48 + -8x = -32 + 19x + -19x Combine like terms: 19x + -19x = 0 -48 + -8x = -32 + 0 -48 + -8x = -32 Add '48' to each side of the equation. -48 + 48 + -8x = -32 + 48 Combine like terms: -48 + 48 = 0 0 + -8x = -32 + 48 -8x = -32 + 48 Combine like terms: -32 + 48 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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