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Simplifying 4(x + -3) + -6 = -3(-8x + 7) + -5x Reorder the terms: 4(-3 + x) + -6 = -3(-8x + 7) + -5x (-3 * 4 + x * 4) + -6 = -3(-8x + 7) + -5x (-12 + 4x) + -6 = -3(-8x + 7) + -5x Reorder the terms: -12 + -6 + 4x = -3(-8x + 7) + -5x Combine like terms: -12 + -6 = -18 -18 + 4x = -3(-8x + 7) + -5x Reorder the terms: -18 + 4x = -3(7 + -8x) + -5x -18 + 4x = (7 * -3 + -8x * -3) + -5x -18 + 4x = (-21 + 24x) + -5x Combine like terms: 24x + -5x = 19x -18 + 4x = -21 + 19x Solving -18 + 4x = -21 + 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. -18 + 4x + -19x = -21 + 19x + -19x Combine like terms: 4x + -19x = -15x -18 + -15x = -21 + 19x + -19x Combine like terms: 19x + -19x = 0 -18 + -15x = -21 + 0 -18 + -15x = -21 Add '18' to each side of the equation. -18 + 18 + -15x = -21 + 18 Combine like terms: -18 + 18 = 0 0 + -15x = -21 + 18 -15x = -21 + 18 Combine like terms: -21 + 18 = -3 -15x = -3 Divide each side by '-15'. x = 0.2 Simplifying x = 0.2
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